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gulaghasi [49]
3 years ago
9

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

Mathematics
2 answers:
TiliK225 [7]3 years ago
7 0

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

zepelin [54]3 years ago
4 0

Answer:

64 pi

Step-by-step explanation:

lmk if you need an explanation

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