Question

a local park district just installed a circular pool that has a diameter of 24 feet. the cover fits exactly on the pool. what is the area of the cover? a. 75.36 square feet b. 150.72 square feet c. 452.16 square feet d. 1808.64 square feet

Explanation:

Step1: Find the radius

The diameter $d = 24$ feet. The radius $r=\frac{d}{2}$, so $r=\frac{24}{2}=12$ feet.

Step2: Calculate the area of the circle

The formula for the area of a circle is $A=\pi r^{2}$. Substitute $r = 12$ into the formula: $A=\pi\times(12)^{2}=\pi\times144$. Using $\pi\approx3.14$, we get $A = 3.14\times144=452.16$ square - feet.

Answer:

C. 452.16 square feet