Question

Two straight edges of a pizza slice meet at an angle of 30°. If the pizza has a radius of 12

inches, what is the area of the slice and how long is its crust? Show how you got your answer step-by-step.

Answer 1

area of the slice: A = 12π in² ≈ 37.7 in²

lenght of its crust: L = 24π in ≈ 6.28 in

Explanation:

R = 12 in

360°:30° = 12

so the area of the slice is ¹/₁₂ of whole pizza

A = ¹/₁₂•πR² = ¹/₁₂•π•12•12 = 12π in² ≈ 37.7 in²

Crust is the perimeter of pizza so crust of the slice is ¹/₁₂ of the perimeter:

L = ¹/₁₂•2πR = ¹/₁₂•2π•12 = 2π in ≈ 6.28 in