Question

Keilah has a large pizza. The radius of the pizza is 12 inches, and the pizza is cut into 16 slices. How many radians of the pizza are taken if four slices were eaten? What is the degree measure of the four slices taken? Explain your steps.

Answer 1

A complete pizza has 360° = 2π rads

First question:
For 16 slices, each slice = 2π/16 rads = (1/8)π rads.

Therefore,
Four slices = 4*(1/8)π rads = (1/2)π rads ≈ 1.57 rads

Second question:
1 rad ≈ 57.2958°

Therefore,
Four slices { or (1/2)π rads} = (1/2)π*57.2958 = 90°