first let's find the are of the whole pizza
The pizza is circular in shape
So we can find its area using the formula of area of a circle
[tex]A=\pi r^2[/tex]where r is the radius
From the question, diameter = 10
Radius is half of diameter, hence r = 5 cm
Substitute the value of r = 5 and pie =22/7 in the formula and evaluate
[tex]A=\frac{22}{7}\times5^2[/tex][tex]=78.571[/tex]Since Angie ate 1/4 of the pizza, we will find 1/4 of 78.571
= 19.64 square inches