MATH SOLVE

4 months ago

Q:
# The area of the circle shown below is 100Ο. What is the diameter (D) of the circle?

Accepted Solution

A:

[tex]\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=100\pi
\end{cases}\implies 100\pi =\pi r^2
\\\\\\
\cfrac{100\pi }{\pi }=r^2\implies 100=r^2\implies \sqrt{100}=r\implies \boxed{10=r}[/tex]

since a diameter is twice as long as the radius, this one is also 2r.

since a diameter is twice as long as the radius, this one is also 2r.