Question

A rectangular pizza, 40 cm by 60 cm, is cut into 24 square pieces. Two round pizzas, each cut into 12 slices, also give 24 pieces. So that the pizzas are the same size, what must be the diameter of the round pizzas?

Answer 1

40*60 = 2400 sq. cm

A = pi * r^2
2400 = 3.14 * r^2
764.33 = r^2
27.65 cm = radius
_____ = diameter

Answer 2

the area of the round pizzas is equal to the rectangular pizza

2 π r^2 = 40 * 60 ... r^2 = 1200 / π

diameter = 2 r