Question

the circumference of a circle is 33.284 feet. what is the circles area? round your answer to the nearest hundredth. square feet

Explanation:

Step1: Find radius using circumference

Circumference formula: $C = 2\pi r$. Rearrange to $r = \frac{C}{2\pi}$. Substitute $C = 23.284$:
$r = \frac{23.284}{2 \times 3.1416} \approx \frac{23.284}{6.2832} \approx 3.706$

Step2: Calculate area with radius

Area formula: $A = \pi r^2$. Substitute $r \approx 3.706$:
$A = 3.1416 \times (3.706)^2 \approx 3.1416 \times 13.734 \approx 43.15$

Answer:

43.15 square feet