57.4k views
2 votes
Find the exact area of a circle having the given circumference.

8


A =


4√2

16

64

2 Answers

5 votes

Answer:

The answer to this question is choice b 16

Explanation:

User Kristabel
by
7.9k points
3 votes

Hello!

I believe that you mean 8π as the exact measure of the circumference. With that, we can find the exact area.

The formula for the area of a circle is: A = πr².

Thus, we need to find the diameter of the circle and divide it by 2 to find the radius.

To find the diameter of a circle given the circumference, use the formula: d = C / π.

d = 8π / π

d = 8

The radius is half of the diameter, so therefore, the radius is 4.

With that, we can find the exact area.

A = πr²

A = 4² · π

A = 16π

Therefore, the exact area of the circle is choice B, 16π.

User Daniel Flores
by
8.4k points

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