Question

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

Answer 1

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.