Question

The circumference of a circle is 16π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.

Answer 1

Answer:

64 pi

Step-by-step explanation:

lmk if you need an explanation

Answer 2

Answer:

$64\pi$

Step-by-step 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 $64\pi$