The area of a circle is 4pi square feet. What is the diameter?Give the exact answer in simplest form. _____ feet. (pi. fraction)

Question

asked Oct 5, 2023 41.0k views

1 Answer

Eugene Krevenets · Answer 1 · 2023-10-10T12:15:19+0000

It is given that the area of the circle is

$4\pi sqft$

The area of the circle is given by:

$A=\pi\ast r^2=\pi\ast((D^2)/(4))$

Substitute the area to get:

$\begin{gathered} 4\pi=\pi\ast((D^2)/(4)) \\ 16=D^2 \\ D=4 \end{gathered}$

Hence the diameter of the circle is 4 feet.