Question

the area of a circle is π square centimeters. what is the radius? a=π cm² give the exact answer in simplest form. centimeters

Explanation:

Step1: Write the formula for the area of a circle

The formula for the area of a circle is \(A = \pi r^{2}\), where \(A\) is the area and \(r\) is the radius.

Step2: Substitute the given area into the formula

Given \(A=\pi\), substitute into \(A = \pi r^{2}\): \(\pi=\pi r^{2}\).

Step3: Solve for \(r\)

Divide both sides of the equation \(\pi=\pi r^{2}\) by \(\pi\): \(1 = r^{2}\). Then take the square root of both sides. Since \(r>0\) (radius is a non - negative quantity), \(r = 1\).

Answer:

\(1\)