Question

find the area, to the nearest hundredth, of the circle with a circumference of 43.96 inches. use 3.14 for π. enter the correct answer in the box. show hints in²

Explanation:

Step1: Solve for radius from circumference

Circumference formula: $C = 2\pi r$. Rearrange to find $r$:
$r = \frac{C}{2\pi} = \frac{43.96}{2\times3.14}$

Step2: Calculate the radius

$r = \frac{43.96}{6.28} = 7$ inches

Step3: Calculate area of the circle

Area formula: $A = \pi r^2$. Substitute values:
$A = 3.14\times7^2 = 3.14\times49$

Step4: Compute final area value

$A = 153.86$

Answer:

153.86