Question

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.

Answer 1

Answer:

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

Answer 2

Answer:

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)