2 Answers

Jose Antonio · Answer 1 · 2021-05-25T02:13:32+0000

Answer:

$64\pi$

Explanation:

The area of a circle can be found using:

$a=\pi r^(2)$

We have the circumference, but we need the radius. Circumference can be found using:

$c=2\pi r$

We know the circumference is 16
$\pi$ , so we can substitute that in for c

16
$\pi$ =2
$\pi$ r

We need to solve for r, or the radius. To do this, divide both sides by 2
$\pi$ . This will get r by itself.

16
$\pi$ /2
$\pi$ =2
$\pi$ r/2
$\pi$

8=r

Now we know the radius, and can substitute it into the area formula

$a=\pi r^2$

Substitute 8 in for r

$a=\pi 8^2$

$a=64\pi$

This answer is expressed in terms of pi, since it includes pi in the answer. Therefore, the area, in terms of pi is
$64\pi$

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