Question

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

Answer 1

Answer:

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

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

Step-by-step 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