The area of a circle is modeled by the equation, A=pi r 2. Rewrite the equation in terms of the circle's radius, r. In your final answer, include all of your calculations.

Step-by-step explanation:

First off, the area of a circle should be pi times r squared, not r times pi squared. I will do my math using this correction.

If A = (pi) r^2 then first we can divide both sides by pi, leaving

A/pi = r^2

To solve for r, we need to take the square root of both sides, leaving

sqrt (A/pi) = r

or

r = sqrt (A/pi)

r = √ (A/π)

Step-by-step explanation:

A = πr²

A/π = r²

±√ (A/π) = r

You can't have a negative radius, so just keep the positive answer.

√ (A/π) = r