Question

the diameter of a small pizza is 10 inches. what is its area? 52.2 in.² 48.2 in.² 54.2 in.² 78.5 in.²

Explanation:

Step1: Find the radius of the pizza

The diameter \( d = 10 \) inches, and the radius \( r=\frac{d}{2}\). So \( r = \frac{10}{2}=5 \) inches.

Step2: Use the formula for the area of a circle

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 5 \) into the formula: \( A=\pi\times5^{2}=\pi\times25 \). Taking \( \pi\approx3.14 \), we get \( A = 3.14\times25 = 78.5 \) square inches.

Answer:

78.5 in.² (corresponding to the option with 78.5 in.², though the options' numbering wasn't clear, the correct area is 78.5 in.²)