Question

1. choose the best answer.

nester needs a cover for his circular outdoor pool. the circumference of the cover must be 16π meters. which quantity is closest to the area of the pool cover measured in square meter?
803.84 m²
100.48 m²
200.96 m²
50.24 m²

Explanation:

Step1: Find radius from circumference

Circumference formula: $C=2\pi r$. Solve for $r$:
$r=\frac{C}{2\pi}=\frac{16\pi}{2\pi}=8$ meters

Step2: Calculate area of the circle

Area formula: $A=\pi r^2$. Substitute $r=8$:
$A=\pi\times8^2=64\pi\approx64\times3.1416=200.96$ $m^2$

Answer:

200.96 m²