the area of circle z is 64π ft². what is the value of r? r = 4 ft r = 8 ft r = 16 ft r = 32 ft r = √(area/π)
the area of circle z is 64π ft². what is the value of r? r = 4 ft r = 8 ft r = 16 ft r = 32 ft r = √(area/π)
Answer
Explanation:
Step1: Substitute area value
Given area = $64\pi$ ft², substitute into $r = \sqrt{\frac{\text{Area}}{\pi}}$. So $r=\sqrt{\frac{64\pi}{\pi}}$.
Step2: Simplify the expression
The $\pi$ in the numerator and denominator cancels out, leaving $r = \sqrt{64}$.
Step3: Calculate square - root
$\sqrt{64}=8$, so $r = 8$ ft.
Answer:
$r = 8$ ft