PSAT Math Multiple-Choice Question 696: Answer and Explanation

Question: 696

A circular pizza has a radius of 8 inches. If the pizza is cut into 8 equal sectors as shown in the drawing below, what is the length of the crust on the edge of each piece, rounded to two decimal places?

• A. 0.13 inches
• B. 0.79 inches
• C. 3.74 inches
• D. 6.28 inches

Correct Answer: D

Explanation:

(D) To find the length of the crust, we want to find of the total crust measure. The total crust measure is the circumference of a circle with radius 8. So the crust of one piece is . Because C = 2πr, the measure we're looking for is:

Note that 2(3.14) = 6.28, or choice (D).