Question

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

Answer 1

Answer:

Approximately 7.16 in

Step-by-step 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

$\frac{161}{\pi} =\frac{\pi r^2}{\pi} \\\frac{161}{\pi} =r^2$

Take the square root of both sides to isolate r

$=r^2\\\sqrt{\frac{161}{\pi}} =r\\7.16=r$

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

I hope this helps!