Geometry Homework

Question

Help !

A 12 inch pizza is cut into 8 slices. You eat one slice, how many square inches of pizza did to eat?

A. 113.1 in ^2

B. 28.2 in ^2

C. 56.5 in ^2

D. 14.1 in ^2

Answer 1

This can be calculated by knowing the are of a circle.

A = πr²

Since this this cut into 8 slices, that would be 1/8 of a circle.

A = (1/6)πr²

Since it is a 12 in pizza, the radius would be 6.Now plug in the numbers

A = (1/8)(3.14159)(6)² = 14.1 in²

Answer 2

If 12 inches = diameter then D is correct 14.1

If 12 inches = radius of the pizza, then C is correct, 56.5

They must advertise pizzas using the largest dimensions possible, so 14.1 is probably correct

still calling the slice of pizza as 12 inches long, might make sense and would make 12 the radius, and 56.5 correct

(1/8)(pi)(12)² = 144pi/8 = 18pi = 56.5

Maybe the problem came with a diagram or something to indicate whether 12 is the radius or the diameter?