Question

the area of a circle is \\(121\pi\text{ yd}^2\\). what is the circumference of the circle?

you are given the area and need to find the circumference, so use the formula:

\\c = 2\sqrt{\pi a}\\

substitute the area and simplify.

\\c = 2\sqrt{\pi(121\pi)}\\

write your answer using \pi\ with no spaces.

\\(c =\\) \\(\text{yd}\\)

Explanation:

Substitute the given area into the formula

$$ C = 2\sqrt{\pi (121\pi)} $$

Simplify the expression inside the square root

$$ C = 2\sqrt{121\pi^2} $$

Evaluate the square root and calculate the final circumference

$$ C = 2 \cdot 11\pi = 22\pi $$

Answer:

The area of a circle is \(121\pi\text{ yd}^2\). What is the circumference of the circle?

You are given the area and need to find the circumference, so use the formula:
\(C = 2\sqrt{\pi A}\)

Substitute the area and simplify.
\(C = 2\sqrt{\pi(121\pi)}\)

Write your answer using "pi" with no spaces.
\(C =\) <blank>22pi</blank> yd