Question

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

Explanation:

Step1: Find the radius

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

Step2: Calculate the area

Substitute \(r = 8\) into the area formula \(A=\pi r^{2}\). Using \(\pi\approx3.14\), we have \(A = 3.14\times8^{2}\). First, \(8^{2}=64\). Then \(A=3.14\times64 = 200.96\) \(ft^{2}\).

Answer:

\(200.96\) \(ft^{2}\)