If all people eat the same amount, and a circular pizza 12 inches in diameter serves two people, how many inches in diameter must eac of three equal pizzas be in order to serve four people?
Area of pizza with 12 in diameter = pi (12//2)^2 = pi (6)^2 = 36pi in^2
So each person eats 18pi in ^2
Then 4 people must eat 4 (18 pi) = 72 pi in^2
So....we need to solve this
72pi = 3 (pi * r^2) divide both sides by 3 pi
24 = r^2 take the positive root
sqrt (24) = r
So....the diameter = 2r = 2qrt (24) = 2 *2sqrt (6) = 4sqrt (6) in