Question

find the area, to the nearest hundredth, of the circle with a circumference of 132 millimeters. use 3.14 for π. enter the correct answer in the box. show hints

Explanation:

Step1: Solve for radius from circumference

The circumference formula is $C = 2\pi r$. Rearrange to solve for $r$:
$r = \frac{C}{2\pi}$
Substitute $C=132$, $\pi=3.14$:
$r = \frac{132}{2\times3.14} = \frac{132}{6.28} \approx 21.0191$

Step2: Calculate circle area

Use area formula $A = \pi r^2$:
$A = 3.14 \times (21.0191)^2$
First compute $(21.0191)^2 \approx 441.8026$, then:
$A \approx 3.14 \times 441.8026 \approx 1387.26$

Answer:

1387.26 mm²