**A circle has an area of 49 π in2. Which of the following is the circumference of the circle in terms of pi (π)?**

14 π in

28 π in

7 π in

3.5 π in

*Correct Answer : A*

The initial step is to establish the relationship between area of a circle and the radius. The area of the circle is given by the formula

Now, substituting the 49* **π** in2 *in place of A in the equation above becomes:

We want to find r, therefore, we rearrange the equation as

Divide both sides by

Take square root both sides of the equation

The radius of the circle is 7 in, and the circumference of the circle is determined as follows

Substituting the value of r=7 becomes

Thus, the circumference of a circle whose area is 49* ** in2* is 14* ** *

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### Correct Answer is A

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The initial step is to establish the relationship between area of a circle and the radius. The area of the circle is given by the formula

Now, substituting the 49* **π** in2 *in place of A in the equation above becomes:

We want to find r, therefore, we rearrange the equation as

Divide both sides by

Take square root both sides of the equation

The radius of the circle is 7 in, and the circumference of the circle is determined as follows

Substituting the value of r=7 becomes

Thus, the circumference of a circle whose area is 49* ** in2* is 14* **
*

*
*

### Correct Answer is D

#### Explanation

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### Correct Answer is C

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an independent variable is one that when changed, causes the other variable(s) to change. In our case, calories burned, distance traveled, energy used increase when cycling speed increases.

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