1 Answer

Eliashdezr · Answer 1 · 2024-01-01T13:34:18+0000

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

Diameter = 10 in.

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

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

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

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

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