# Geometry

posted by .

One pizza has a diameter twice the diameter of a smaller pizza. what is the rato of the area larger pizza to the area of the smaller pizza?

• Geometry -

4/1

proof:
let the radius of the smaller be r
let the radius of the larger be 2r

area of smaller = πr^2
area of larger = π(2r)^2 = 4πr^2

ratio of larger to smaller = 4πr^2/(πr^2) = 4/1 or 4 : 1

## Similar Questions

1. ### Math 157

A 7 inch pizza cost \$8 and a 14 inch pizza costs \$20. Tommy says the smaller pizza is a better buy because the larger pizza is twice as big and more than twice as expensive. Do you agree with his reasoning?
2. ### Geometry check my answer?

Small Pizza- radius 6 in. cost \$9.75 Medium- radius 8in cost \$12 Large-diameter 20 in cost \$16.50 The edge is stuffed with cheese, and its the best part of the pizza/ What size has the most pizza edge pr dollar?
3. ### algebra

You have been put in charge of making pizza for the fundraiser. You are told to make the larger pizzas with a radius 3 less than twice the radius of the smaller pizzas. The difference in the area of the pizzas is to 24 pi. Find the …
4. ### math

Tiny is ordering a pizza and cant decide between a round pizza with a diameter of 4 inches or a rectangular pizza that is 12 inches by 14 inches. The round pizza is 9.50 and the rectangular pizza is 10.00. Which is larger?
5. ### geometry

word problem You and 3 friends order a 24 in pizza (the diameter is 24 inches) what is the area of the pizza?
6. ### math

A 4'' diameter round pizza with area As and a 12'' diameter round pizza with area Ab. What is the ratio Ab/As?
7. ### geometry

Papa's Pizza charges \$0.05 per square inch of pizza. Pizza is measured by the diameter. How much will pap's Pizza charge for a 7-inch, 10-inch, and 14-inch pizza?
8. ### maths

Small pizza Diameter = 15 cm Medium pizza Diameter = 30 cm I\$ a medium pizza twice as large as a small pizza?
9. ### Pre ALgebra

If a pizza with a diameter of 12 inches costs \$10.99, based on area, about how much should a 15-inch pizza cost?
10. ### Geometry

How much more pizza is in a 12-in. diameter pizza than an 8-in. diameter pizza?

More Similar Questions