Question

the area of circle z is 64πft². what is the value of r? r = √(area/π)

Explanation:

Step1: Substitute the area into the formula

Given \( r = \sqrt{\frac{\text{Area}}{\pi}} \), and Area \( = 64\pi\). Then \( r=\sqrt{\frac{64\pi}{\pi}}\).

Step2: Simplify the expression

Since \(\frac{64\pi}{\pi}=64\), then \( r = \sqrt{64}\).

Step3: Calculate the square - root

\(\sqrt{64}=8\).

Answer:

\(r = 8\mathrm{ft}\)