John buys a pizza that has a 14-inch diameter and is cut into 12 congruent slices.

Question

John buys a pizza that has a 14-inch diameter and is cut into 12 congruent slices. What is the length of the outer edge of any one slice of pizza , in inches?

A- 7/6pi

B- 14/5pi

C-5/2pi

D-6/7pi

Answer 1

The circumference of a circle is PI * diameter, and the pizza is a circle.

The circumference of the pizza is thus PI * 14.

Since there are 12 congruent slices, the circumference (or outer edge length) of a single slice of pizza is PI * 14/12 = 7/6 PI (A)

Answer 2

Circumference of full Pizza = 2pi *radius = 2pi * 7 inch

As R = 14/2 = 7 inch

Divided into 12

Size of each = 2pi*7/12

= pi*7/6

Option A