Answer:
C. 100π
Explanation:
Given:
Circumference of a circle= 20π
Area=?
We find the radius first using the given circumference. The formula is:
C=2πr
Where:
r=radius
C= circumference
Then,
[tex]\begin{gathered} C=2\pi r \\ 20\pi=2\pi r \\ \text{Simplify and rearrange} \\ r=\frac{20\pi}{2\pi} \\ \text{Calculate} \\ r=10 \end{gathered}[/tex]To get the area of the circle, we use the formula:
[tex]\begin{gathered} A=\pi r^2 \\ We\text{ plug in what we know} \\ A=\pi(10)^2 \\ \text{Simplify} \\ A=100\pi \end{gathered}[/tex]Therefore, the area of the circle is 100π.
