Question

The area of a circle is 161 in. What is the radius?​

Answer 1

Approximately 7.16 in

Explanation:

Hi there!

Area of a circle equation:
`A=\pi r^2` where r is the radius

Plug in the given area 161 in.²

`161=\pi r^2`

Divide both sides by π to isolate r²

`(161)/(\pi) =(\pi r^2)/(\pi) \\(161)/(\pi) =r^2`

Take the square root of both sides to isolate r

`=r^2\\\sqrt{(161)/(\pi)} =r\\7.16=r`

Therefore, the radius of the circle is approximately 7.16 in.

I hope this helps!