Question

to the nearest hundredth, find the area of a circle with a circumference of 69.08 feet. use 3.14 for π. enter the correct answer in the box. show hints

Explanation:

Step1: Find radius from circumference

The circumference formula is $C = 2\pi r$. Rearrange to solve for $r$:
$r = \frac{C}{2\pi}$
Substitute $C=69.08$, $\pi=3.14$:
$r = \frac{69.08}{2\times3.14} = \frac{69.08}{6.28} = 11$

Step2: Calculate circle area

Use area formula $A = \pi r^2$:
Substitute $\pi=3.14$, $r=11$:
$A = 3.14\times11^2 = 3.14\times121$

Step3: Compute final value

$3.14\times121 = 379.94$

Answer:

379.94 ft²