Answer:
four
Step-by-step explanation:
When Aidan had his picture taken, the photographer charged a $10 sitting fee and $6 for each sheet of pictures purchased.
What is the independent varibale?
Answer:
the independent variable is the each pictures becasue you don't know how many photo he took.
Trigonometry:
Find the value of θ
Answer:
θ ≈ 50.1°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosθ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{61}{95}\) , then
θ = \(cos^{-1}\) ( \(\frac{61}{95}\) ) ≈ 50.1° ( to the nearest tenth )
Consider the following. W = xyz x= + 2t, y =s - 2t, z = st? (a) Find aw/as and aw/at by using the appropriate Chain Rule. aw 3522 - 40 v as aw at - 231 – 1668 (b) Find aw/as and aw/at by converting w to a function of sand before differentiating.
To find aw/as and aw/at using the Chain Rule:
(a) Using the
Chain Rule
, we have:
aw/as = (dw/ds) * (ds/as) = ((dw/dx) * (dx/ds) + (dw/dy) * (dy/ds) + (dw/dz) * (dz/ds)) * (ds/as)
Substituting
the given expressions for x, y, and z, we get:
x = 2t, y = s - 2t, z = st
dx/ds = 0, dy/ds = 1, dz/ds = t
dx/dt = 2, dy/dt = -2, dz/dt = s
Therefore:
aw/as = ((z/x) * 2 + (z/y) * (-2) + (x*y)) * (1/s) = (2st/x - 2st/y + 2st) * (1/s)
= 2st * (y/x - y/y + 1) * (1/s) = 2st * (1 - 2/s) * (1/s)
= 2t * (1 - 2/s)
Similarly, we can find
aw/at
:
aw/at = (dw/dx) * (dx/dt) + (dw/dy) * (dy/dt) + (dw/dz) * (dz/dt)
= z * 2 + (-z) * 2 + xy
= 2st - 2st + 2ts
= 2ts
Therefore, aw/as = 2t * (1 - 2/s) and aw/at = 2ts.
(b) To find aw/as and aw/at by converting w to a function of s, we substitute the expressions for x and y in terms of s:
x = 2t, y = s - 2t
into the expression for w:
w = xyz = (2t)(s - 2t)(st) = 2st^2 - 4t^2s
Then we differentiate w with respect to s and t to get:
dw/ds = 4t^2 - 4t
dw/dt = 4st - 8ts
Using the Chain Rule, we can find aw/as and aw/at:
aw/as = dw/ds = 4t^2 - 4t
aw/at = dw/dt = 4st - 8ts
Therefore,
aw/as = 4t^2 - 4t
and aw/at = 4st - 8ts.
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integral of the vector field , where is the line from point to point
The integral of a vector field along a curve can be calculated using the concept of line integrals.
The line integral of a vector field F along a curve C is defined as the sum of the dot product of the vector field and the infinitesimal change in position along the curve.
In the case of the vector field F(x,y) = i + xj, the line integral from point A to point B can be calculated as follows:
∫_C F(x,y) • dr = ∫_A^B (i + xj) • dr = ∫_A^B i dx + xj dx
Here, dr represents the infinitesimal change in position along the curve C, and the integrand represents the dot product of the vector field and the change in position.
The line integral can be evaluated using numerical methods or using Green's theorem, which relates the line integral of a vector field along a closed curve to the double integral of the curl of the field over the region enclosed by the curve.
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Events D and E are independent, with P(D) = 0.6 and P(D and E) = 0.18. Which of the following is true?
(A) P(E) = 0.12
(B) P(E) = 0.4
(C) P(D or E) = 0.28
(D) P(D or E) = 0.72
(E) P(D or E) = 0.9
The probability that is true is P(D or E) = 0.72.
Option D is the correct answer.
We have,
We can start by using the formula:
P(D and E) = P(D) x P(E)
Since D and E are independent events, their probabilities multiply to give the probability of both events happening together.
Plugging in the given values.
0.18 = 0.6 x P(E)
Solving for P(E).
P(E) = 0.18 / 0.6 = 0.3
So option (A) is not correct.
To find P(D or E), we can use the formula:
P(D or E) = P(D) + P(E) - P(D and E)
Plugging in the given values.
P(D or E) = 0.6 + 0.3 - 0.18 = 0.72
Thus,
P(D or E) = 0.72 is true.
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The scale on a map is om 60 km. Which of the following proportions could be used to find how many
Kilometers are represented by 2.5 centimeters on the map?
Answer:
150 km
Step-by-step explanation:
60 times 2 plus 30
What is the advantage of pooling your data with the rest of the lab section?.
Data sharing with the remainder of the lab section has a number of benefits. First of all, it broadens the sample size overall, which can boost the statistical power of analyses and broaden the applicability of the results.
It is simpler to find significant effects or relationships in the data when the sample size is higher. Furthermore, combining data can result in a more representative sample, minimising any biases that can be present in smaller individual datasets. Collaboration and the investigation of trickier research problems are made possible by sharing data. It promotes information exchange and a collaborative atmosphere where researchers can benefit from one another's experiences, approaches, and insights, thereby raising the calibre and dependability of the research carried out in the lab sector.
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Consider the following linear regression model where each observation are individuals in a high school graduating class, attendcol =β
0
+β
1
GPA+β
2
faminc +β
3
faminc
2
+ε where attendcol is a binary variable equal to 1 if the individual attends college, GPA is their high school GPA, and faminc is their family income. Which one of the following statements is FALSE. Assumption A2 is violated because both faminc and faminc^^ 2 are included in the model Assumption A6 is violated because the error cannot be normally distributed for binary outcome variables Assumption A4 is violated because heteroskedasticity is inherent for binary outcome variables
The false statement is "Assumption A4 is violated because heteroskedasticity is inherent for binary outcome variables."
Assumption A4 in linear regression assumes homoskedasticity, which means the variability of the errors (ε) is constant across all levels of the independent variables. However, in the given regression model, the statement falsely claims that heteroskedasticity is inherent for binary outcome variables.
In reality, heteroskedasticity is not a necessary consequence of binary outcome variables. The violation of homoskedasticity typically arises due to the relationship between the independent variables and the variability of the errors, rather than the nature of the outcome variable itself.
In this particular model, the assumption violated is A6, which states that the errors should be normally distributed. Since the outcome variable, attendcol, is binary (taking values of 0 or 1), the assumption of normal distribution for the errors is not appropriate. Binary outcome variables follow a discrete probability distribution, such as the Bernoulli distribution.
Assumption A2, which involves the inclusion of both faminc and \(faminc^2\) in the model, is not inherently violated. Including both linear and squared terms of faminc allows for a nonlinear relationship between family income and the probability of attending college
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The Ponce de Leon lighthouse in St. Augustine, Florida, is the second tallest brick tower in the United States. It was built in 1887 and rises 175 feet above sea level. How far from the base of the lighthouse is a motorboat if the angle of depression from the top of the lighthouse is 13°15'?
Answer:
B on E2020
Step-by-step explanation: ok
substitution y=2y-2 and y=2x-5y=1
Answer:
We can solve for y in the equation y = 2y - 2 by substituting y = 2x - 5.
Starting with y = 2y - 2, we substitute y = 2x - 5:
2x - 5 = 2(2x - 5) - 2
Expanding the right side:
2x - 5 = 4x - 12
Next, we isolate y by subtracting 2x from both sides:
-2x - 5 = 4x - 12
Adding 2x to both sides:
-5 = 6x - 12
Adding 12 to both sides:
7 = 6x
Finally, we divide both sides by 6 to solve for x:
x = 7/6
So, y = 2x - 5 = 2(7/6) - 5 = 7/3 - 5 = -14/3.
Therefore, y = -14/3 is the solution to the system of equations y = 2y - 2 and y = 2x - 5.
Step-by-step explanation:
_____ show the change in one or more variables progressively across time. a. Histograms b. Pie charts c. Line graphs d. Bar charts e. Diagrams.
The correct answer is c. Line graphs show the change in one or more variables progressively across time.
Histograms show the distribution of data, pie charts show the proportions of a whole, bar charts compare categories or groups, and diagrams show the relationships between different elements.
The correct answer is c. Line graphs show the change in one or more variables progressively across time
A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighbouring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics. Frequency, which can be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data.
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Line graphs show the change in one or more variables progressively across time. C
A line graph is a type of chart that displays data as a series of data points connected by straight lines.
The horizontal axis of the graph typically represents time, while the vertical axis represents the value of the variable being measured.
By connecting the data points with lines, a line graph can show the trend or pattern of change in the variable over time.
Line graphs are commonly used in fields such as economics, finance, and science to visualize trends in data over time.
They can be used to identify patterns, compare different variables, or forecast future trends.
In contrast, histograms, pie charts, bar charts, and diagrams are different types of charts that are used to display data in different ways.
Histograms are used to show the distribution of data within a single variable, while pie charts and bar charts are used to compare different categories or groups of data.
Diagrams are used to represent complex systems or relationships, often using visual symbols or icons to represent different components.
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raul has a website for sports fans. he wants to track the number of new and returning visitors to his site. what can he use to find this information?
To track the number of new and returning visitors to his sports website, Raul can use web analytics tools.
As a website owner, it is important to track the number of visitors that come to your site. This can help you determine the success of your website and identify areas where you may need to improve. In the case of Raul's sports website, he wants to track both the number of new and returning visitors.
To track this information, Raul can use web analytics tools. These tools can track a variety of metrics, including the number of visitors, the time visitors spend on the site, and the pages they visit. Specifically, Raul can use a tool that provides information about unique visitors versus returning visitors.
Unique visitors refer to the number of people who have visited the website for the first time, while returning visitors refer to those who have visited the website before.
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Please answer quickly!!!!
If you have a rewards card at Biggyby, you earn a free drink after every 12 drinks you buy. Can the total amount of money spent at biggby after ordering n drinks be considered arithmetic? Why or why not
i love you and Add an independent clause to each dependent clause below to complete
No. The total amount after ordering n drinks can't be arithmetic because arithmetic consists of a number not an expression.
It is given that we have a reward card with which we can earn a free drink after every 12 drink we buy.
We have to find out that is the total amount after ordering n drinks can be arithmetic ?
What do you mean by arithmetic ?
Arithmetic meant to work with numbers by doing processes such as ; addition, subtraction, multiplication, and division.
As per the question ,
We earn a free drink after every 12 drinks.
That meant , if we order n drinks then we will get free drink after every 12 drink.
As we know that ;
Arithmetic only has numbers and it doesn't consist of variables.
The money spent at Biggby is an expression about n and n is a variable , so it can't be considered arithmetic.
Thus , it can't be considered as an arithmetic because arithmetic has only numbers and no variables.
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Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
To find the z-score for a sales associate who earns $37,500, we can use the formula:
z = (x - μ) / σ
Where:
x is the value we want to convert to a z-score (in this case, $37,500),
μ is the mean of the distribution (in this case, $32,500), and
σ is the standard deviation of the distribution (in this case, $2,500).
Substituting the given values into the formula, we have:
z = (37,500 - 32,500) / 2,500
z = 5,000 / 2,500
z = 2
Therefore, the z-score for a sales associate who earns $37,500 is 2.
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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.
Explanation:The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.
We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:
Z = (Value - Mean) / Standard Deviation
So, the z-score for an associate earning $37,500 would be:
Z = ($37,500 - $32,500) / $2,500
This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.
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Given the function f:[−π4,π4]→[−1,1];f(x)=sinx , check which one(s) of the properties it has.
A. injective
B. strictly increasing
C. decreasing
D. surjective
E. strictly decreasing
F. increasing
G. None of the above
please explain
The function f possesses the characteristics of injectivity, strict increase, and surjectivity. It lacks the characteristics of rigorously increasing, decreasing, or decreasing.
Because it is one-to-one, or that there is only one matching y-value for each given x, the function f(x) = sinx is injective. Because the associated y-values rise monotonically for any two x-values, it is also strictly increasing. Additionally, it is surjective because the full [-1, 1] range of the function is covered by its range. Since its values don't always fall or rise linearly, it lacks the characteristics of rigorously decreasing, decreasing, or increasing.
The function f:[4, 4][1, 1];f(x)=sinx has a number of significant characteristics. It is one-to-one since it is injective. This implies that there is only one matching y-value for every possible value of x. Additionally, it is strictly growing, which means that the related y-values rise monotonically for any two x-values. This indicates that the function is not always linear in its increase or decrease. The function is also surjective because its range includes the entire [-1, 1] range of the function. This indicates that the function can produce any value between -1 and 1.
Since the values of the function do not necessarily drop or rise linearly, it does not possess the characteristics of strictly decreasing, decreasing, or increasing. This distinguishes the function from others and enables a wide range of applications.
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Identify the lateral area and the surface area of a right rectangular prism with an 8 cm by 9 cm base and a height of 13 cm.
the lateral area and the surface area of a right rectangular prism with an 8 cm by 9 cm base and a height of 13 cm is
LA= 442cm^2
SA= 586cm^2
Lateral Area= (2l+2w) h
LA= (2(8) + 2(9)) 13
LA= (16+18) 13
LA= (34)13
LA=442cm^2
Surface Area= 2 (wh + lh + lw)
SA= 2 (104+117+72)
SA= 2(293)
SA= 586cm^2
Total surface area is calculated by summing all areas on the surface. That is, the area of the object's bottom, top, and sides (sides). This is done using various area formulas and is measured in square units. Volume is the amount of space occupied by a three-dimensional object.
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Guys This is one of the most difficult question .
I salute the person who answer it correctly
The question goes like this :
The present price of a Camera is $32400. After day to day use, its price depriciates !! in such a way that its price will be $0 in 12 years ,, Then calculate the ptice of the Camera after 4 years.
Answer:
$21,600
Step-by-step explanation:
32400÷12=2700
2700×4=10,800
32400-10800=21600
Answer: $21,600
Step-by-step explanation: 32400÷12=2700
2700×4=10,80032400-10800=21600a radio commercial for a loan company states "you pay 25 © a day for each $500 borrowed"if you borrow $1,693 for 120 days, what amount will you repay and what annual interest rate is the company actually charging (assume a 360 day year)
a) amount you repay= (round to two decimal places)
b) annual interest rate= (round to four decimal places)
a) The amount you will repay is approximately $12,000.
b) The annual interest rate charged by the loan company is approximately 18.2715%.
To calculate the amount you will repay and the annual interest rate charged by the loan company, we can follow these steps:
Step 1: Calculate the number of $500 increments for the loan amount:
Number of $500 increments = loan amount / $500
= $1,693 / $500
≈ 3.386
Since we can't have a fraction of an increment, we round up to 4.
Step 2: Calculate the daily payment:
Daily payment = 25 © * Number of $500 increments
= 25 © * 4
= $100
Step 3: Calculate the total repayment amount:
Total repayment amount = Daily payment * number of days
= $100 * 120
= $12,000
Step 4: Calculate the annual interest rate:
Annual interest rate = (Total repayment amount - Loan amount) / Loan amount * (360 / Number of days)
= ($12,000 - $1,693) / $1,693 * (360 / 120)
Now, let's perform the calculations:
Amount you repay ≈ $12,000
Annual interest rate ≈ (($12,000 - $1,693) / $1,693) * (360 / 120)
Calculating the annual interest rate:
Annual interest rate ≈ (($10,307) / $1,693) * 3
Rounding to four decimal places:
Annual interest rate ≈ (6.0905) * 3
≈ 18.2715
Therefore,
a) The amount you will repay is approximately $12,000.
b) The annual interest rate charged by the loan company is approximately 18.2715%.
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Find the volume v of the solid obtained by rotating the region bounded by the given curves 2x=y^2 x=0
According to the given statement This integral will give you the volume of the solid..
To find the volume of the solid obtained by rotating the region bounded by the curves 2x = y² and x = 0, we can use the method of cylindrical shells.
First, let's graph the given curves to visualize the region. The curve 2x = y² is a parabola opening to the right, and the line x = 0 is the y-axis.
Next, we need to find the limits of integration. From the given information, we know that x ranges from 0 to some value. To find this value, we set the equations equal to each other and solve for x:
2x = y²
x = y²/2
Since x cannot be negative, we take the positive square root of both sides:
√x = y/√2
√2x = y
So, the limits of integration for y are √2x and 0, and the limits of integration for x are from 0 to some value.
To set up the integral for the volume, we use the formula:
V = ∫[a, b] 2πrh dx
where r is the distance from the axis of rotation to the curve (in this case, the x-axis), and h is the height of the cylindrical shell.
In this case, the radius r is x, and the height h is given by the difference between the y-values of the curves at a particular x-value:
h = √2x - 0
Plugging these values into the integral, we get:
V = ∫[0, b] 2πx(√2x - 0) dx
Simplifying this integral will give you the volume of the solid.
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To find the volume of the solid obtained by rotating the region bounded by the given curves \(\(2x = y^2\) and \(x = 0\)\), we can use the method of cylindrical shells. The volume can be calculated using the integral:
\(\[v = \int_{0}^{2} 2\pi x\sqrt{2x} \, dx\]\)
The given curves are \(\(2x = y^2\) and \(x = 0\).\) We want to rotate the region bounded by these curves about the y-axis to form a solid.
To use the method of cylindrical shells, we divide the region into thin cylindrical shells. The radius of each shell is the x-coordinate, which is x, and the height is the difference between the y-values on the curve, which is \(\(\sqrt{2x}\)\).
Now, we set up the integral. The integral represents the sum of the volumes of all the cylindrical shells. The integral is evaluated over the range from x = 0 to x = 2, as determined by the bounds of the region.
Evaluating the integral gives us the volume of the solid:
\(\[v = 2\pi\int_{0}^{2} x^{3/2} \, dx\]\)
Integrating this expression yields:
\(\[v = 2\pi\left[\frac{2}{5}x^{5/2}\right]_{0}^{2}\]\)
Evaluating the limits of integration, we get:
\(\[v = 2\pi\left[\frac{2}{5}(2)^{5/2} - \frac{2}{5}(0)^{5/2}\right]\]\)
Simplifying this expression gives us the volume v of the solid.
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A bag contains colored tiles
3 tiles are red
6 tiles are green
3 tiles are blue
A tile is randomly selected from the bag what is the probability in decimal form that the tile selected will be green
Answer:
0.5
Step-by-step explanation:
6 is half of the tiles
Help me please! very easy
Scatter plot 8 grades, help please!!!
Answer:
Step-by-step explanation:
go up to the 85 on the grade track that over until you meet the dot.
that dot says it would be 3 hours
The diameter of a circle is 22 centimeters. What is the circle's area? use 3.14 for pi
Answer:
approximately 379.94 square centimeters.
Step-by-step explanation:
To find the area of a circle, you can use the formula:
Area = pi * (radius)^2
Since the diameter of the circle is given, you can find the radius by dividing the diameter by 2:
radius = diameter / 2
Substituting the diameter value, you get:
radius = 22 / 2 = 11
Now, you can find the area by substituting pi and the radius value:
Area = 3.14 * (11)^2 = 379.94 sq. cm (rounded to two decimal places)
Therefore, the area of the circle is approximately 379.94 square centimeters.
Answer:
The formula to calculate the area of a circle is:
Area = π × (radius)^2
Given the diameter (D) is 22 centimeters, the radius (r) is half of the diameter:
r = D / 2 = 22 / 2 = 11 centimeters
Now, plug the radius into the formula:
Area = 3.14 × (11)^2
Area = 3.14 × 121
Area = 379.94 square centimeters
The circle's area is approximately 379.94 square centimeters.
Bonjour!
Write the ratio 2 3/5 in simplest form.
Answer:
Already in simplilest form
The conflict in Korea saw both sides utilizing evolutionary airpower Which of the following was a "first" for both sides in the skies over Korea? Airlift aircraft use Fighter jet use Close air support Air-to-Air combat by pursuit aircraft
The "first" fοr bοth sides in the skies οver Kοrea was air-tο-air cοmbat by pursuit aircraft. Thus, option d. is correct.
What was result of air-tο-air cοmbat by pursuit aircraft?During the cοnflict in Kοrea, air-tο-air cοmbat by pursuit aircraft marked a significant develοpment fοr bοth sides. This refers tο engagements between fighter aircraft frοm οppοsing fοrces in aerial warfare. It represented a new dimensiοn οf warfare as aircraft were deplοyed tο engage and shοοt dοwn enemy planes.
Air-tο-air cοmbat intrοduced a dynamic and intense aspect tο the cοnflict, as pilοts frοm different natiοns engaged in dοgfights tο gain air superiοrity. It invοlved tactics such as aerial maneuvers, target tracking, and the use οf weapοnry tο shοοt dοwn enemy aircraft.
This develοpment shοwcased the evοlving rοle and impοrtance οf fighter jets in mοdern warfare. It highlighted the significance οf air superiοrity and the need tο cοntrοl the skies tο gain a strategic advantage. Air-tο-air cοmbat played a crucial rοle in shaping the cοurse οf the Kοrean War and demοnstrated the increasing reliance οn aerial capabilities in military οperatiοns.
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For each function f , find f⁻¹ and the domain and range of f and f⁻¹ . Determine whether f⁻¹ is a function.
f(x)=5 x+2
Inverse function of f(x)=5x+2 and determine its domain, range, and whether it is a function. Step 1: Start by replacing f(x) with
Yes, f⁻¹ is a function because each input x has a unique output (y = (x - 2)/5).
y: y = 5x + 2
Step 2: Swap x and y:
x = 5y + 2
Step 3: Solve for y:
x - 2 = 5y
(x - 2)/5 = y
y = (x - 2)/5
Step 4: Replace y with f⁻¹(x):
f⁻¹(x) = (x - 2)/5
Step 5: Determine the domain and range of f:
The domain of f is all real numbers, as there are no restrictions on the values of x.
To find the range, we consider that f(x) is a linear function with a positive slope of 5. This means that the range is also all real numbers.
Step 6: Determine the domain and range of f⁻¹:
The domain of f⁻¹ is also all real numbers, as there are no restrictions on the values of x.
The range of f⁻¹ is also all real numbers, as the function f⁻¹(x) is a linear function.
Step 7: Determine if f⁻¹ is a function:
Yes, f⁻¹ is a function because each input x has a unique output (y = (x - 2)/5).
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Please solve, I will mark as brainlyiest if right!
Answer:
I think its B, but I could be wrong.
Step-by-step explanation:
please work this out
Answer:
? = 85°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum of the angles around a point = 360° , so
interior angle on right = 360° - 250° = 110°
sum the interior angles and equate to 540°
110° + 115° + 120° + 110° + ? = 540° , that is
455° + ? = 540° ( subtract 455° from both sides )
? = 85°
In a shipment of shirts to a clothing store, 2/5 of the shirts are blue and 3/10 of the shirts are red. If there are 20 shirts in the shipment, how many shirts are either blue or red?
Answer: 14
Step-by-step explanation:
Fraction of blue shirts = 2/5
Fraction of red shirts = 3/10
Number of shirts in the shipment = 20
The number of shirts that are either blue or red will be:
= (2/5 + 3/10) × 20
= (4/10 + 3/10) × 20
= 7/10 × 20
= 14
The number of shirts that are either blue or red is 14
PIz HeIp The circumference of the red circle is approximately ____ units. Use 3.14 for π.
Do not round your answer.
The circumference of the circle inscribed in a square of side 14 units is 43.96 units, on the basis of the fact that the diameter of the circle will be equal to the side of the square.
What is circumference?
Circumference is the length of a circle's boundary or the perimeter of any circular object or figure.A circle's circumference or an elliptical two-dimensional figure's perimeter are the same. Either the radius or the diameter of the circle are necessary components to calculate the circumference.
Circumference of circle=2πr {where r=radius}
=πd {where d=diameter}
Given that the circle is inscribed in the square & it is the maximum possible circle that would fit inside the square of 14 units.
The diameter of circle= side of square that inscribes circle
d = 14 units
Circumference of circle=πd
=π(14)
=14π {in terms of π}
Circumference of circle=14π
=14(3.14) {taking π=3,14}
=43.96 units
Circumference of circle=43.96 units
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