Question

the chalk circle around the pitchers mound has a diameter of 16 ft. what is the area of the pitchers circle? a = ? ft² 256π 64π 16π 8π

Explanation:

Step1: Find the radius

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius. Given the diameter \(d = 16\) ft, and \(r=\frac{d}{2}\), so \(r=\frac{16}{2}=8\) ft.

Step2: Calculate the area

Substitute \(r = 8\) into the area formula \(A=\pi r^{2}\). Then \(A=\pi\times(8)^{2}=\pi\times64 = 64\pi\) \(ft^{2}\).

Answer:

\(64\pi\) \(ft^{2}\)