Question

The Ibanez family orders a small pizza and a large pizza. The diameter of the large pizza is twice that of the small pizza, and the area of the small pizza is 201 in.2 What is the area of the large pizza, in square inches?

Answer 1

Explanation:

First find the diameter of the small pizza.

Area = π r²

We have the area 201 in².

Let's subsitute into the formaula to find diameter of the small pizza.

201 in² = (3.14)π²

Divide both sides by π.

64.013 = r²

√64.013 = √r

8 = r (approximately) diameter is 2 times the radius.

So if the diameter of the small pizza is 8 × 2 = 16.

And the diameter of the large pizza is 16 × 2 = 32

Area of large pizza = π r²

radius would be half the diameter or 16

Area = 3.14 × 16²

803.84 in²