Question

a large pizza has a diameter of 16 inches. which of the following is the a 256π in² 64π in² 16π in² 32π in²

Explanation:

Step1: Find the radius

The formula for the radius \(r\) of a circle is \(r=\frac{d}{2}\), where \(d\) is the diameter. Given \(d = 16\) inches, then \(r=\frac{16}{2}=8\) inches.

Step2: Calculate the area

The formula for the area \(A\) of a circle is \(A=\pi r^{2}\). Substitute \(r = 8\) into the formula: \(A=\pi\times8^{2}=\pi\times64 = 64\pi\) \(in^{2}\).

Answer:

\(64\pi\ in^{2}\) (the second option)