Two identical circles of largest possible area are to be cut from a 12in by 24in rectangular piece for stock. Find the amount of waste.

Answer 1

two circles of radius 6 in, any bigger will not fit.

circle area = 2 (pi 6^2) = 72 pi
rectanglearea = 12 * 24

waste = 12 *24 - 72 pi

Answer 2

Each circle has a diameter of 12 inches.

A = pi * r^2
A = 3.14 * 36
A = 113.04 sq. in.

2 * 113.04 = 226.08 sq. in.

(12 * 24) - 226.08 = ________ sq. in. waste