Question

What is the radius of a circle with an area of 32.1 sq ft

Answer 1

We can rearrange the formula for finding the area of circle to get the radius of a circle from the area.

Formula:
`A = \pi r^2`

Rearrange the formula.


`A = \pi r^2 \\ \\ (A)/(\pi) = r^2 \\ \\ \sqrt{(A)/(\pi)} = r`

We let
`\pi` equal to 3.14.

Plug in the values.


`\sqrt{(32.1)/(3.14)} = r \\ \\ √(10.22) = r`
3.19 ≈ r

So, the radius is approximately equal to 3.19 feet.

Answer 2

Area of circle = 32.1


`\pi * r^(2) = 32.1`


`r^(2) = (32.1)/( \pi )`


`r = \sqrt{ (32.1)/( \pi ) }` = 3.2 ft