CK-12 Geometry-Concepts

10.9. Arc Length http://www.ck12.org

2.

3. An extra large pizza has a diameter of 20 inches and is cut into 12 pieces. Find the length of the crust for one
   piece of pizza.

Answers:

1. Use the Arc Length formula.

PQ̂=^135

360

· 2 π( 12 )

PQ̂=^3

8

· 24 π

PQ̂= 9 π

2. Use the Arc Length formula.

PQ̂=^360 −^260

360

· 2 π( 144 )

PQ̂=^5

18

· 288 π

PQ̂= 80 π

3. The entire length of the crust, or the circumference of the pizza, is 20π≈ 62. 83 in. In 121 of the pizza, one piece
   would have^6212.^83 ≈ 5 .24 inches of crust.