Question

Angie ate 14 of a pizza with a diameter of 10 inches. How many square inches of pizza did she eat?

Answer 1

First, let's determine the total area of the pizza.

Diameter = 10 in.

$\text{ Area = }\frac{\pi d^2}{4}$$\text{ = }\frac{\pi(10)^2}{4}$$\text{ = }\frac{\pi(100)}{4}$$\text{ Area = 25}\pi\text{ in.}^2$

Next, let's determine what is 1/4 of the area of the pizza.

$\text{ }\frac{1}{4}\text{ of Pizza's area = }\frac{1}{4}\text{ x 25}\pi$$\text{ = }\frac{25\pi}{4}$$\text{ = 6.25}\pi\text{ or 6.25(3.14) = }19.625in.^2$

Therefore, Angie ate 19.625 in.² of the pizza.