1 Answer

Sagiruddin Mondal · Answer 1 · 2024-08-29T18:51:38+0000

Answer:

36
$\pi$ square units

Explanation:

The formula for the circumference of a circle is C = 2
$\pi$ r.

If the circumference is 12
$\pi$ , then that means:

12
$\pi$ = 2
$\pi$ r

After diving both sides by 2
$\pi$ , you get 6 = r, meaning our radius is r.

The formula for the area of a circle is A =
$\pi r^(2)$ .

As we've now found the radius to be 6, the area is equal to:

A =
$\pi (6)^(2)$

After squaring 6, we get:

A =
$36\pi$

Therefore, the area of a circle that has a circumference of
$12\pi$ is
$36\pi$ square units.

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