Answer to Question #330587 in Geometry for nena

Question

An extra-large pizza is circular with a diameter of 12 inches. Pizza sauce is spread on the pizza dough at a rate of 1.1 mL of pizza sauce per square inch (in²) of crust. How much pizza sauce (rounded to the nearest 1 mL) is required to cover the entire pizza, if a 1-inch crust is to be left around the edge of the entire pizza?

Answer 1

Square pizza:

$S_{p}=\frac{\pi d^{2}}{4}\\$

$d=12 - 1- 1 = 10(in)$ - diameter of pizza slice covered with sauce.

$S_{p_s}=\frac{\pi 10^{2}}{4}=78.539 (in^{2})$

$78.539 * 1.1 = 86.3929 \approx87 (ml)$ - sauce need.