Question

1. alex cuts a pizza in half. he discovers that half of the pizza is 14 inches across. find the area of the pizza.

Explanation:

Step1: Find the radius of the pizza

Since half of the pizza (the diameter) is \(d = 14\) inches, the radius \(r=\frac{d}{2}\).
\(r=\frac{14}{2}=7\) inches.

Step2: Use the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\), where \(\pi\approx3.14\) and \(r = 7\) inches.
Substitute \(r = 7\) into the formula: \(A=3.14\times7^{2}\).
First, calculate \(7^{2}=49\).
Then, \(A = 3.14\times49\).
\(A=153.86\) square inches.

Answer:

The area of the pizza is \(153.86\) square inches.