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Setler [38]
3 years ago
15

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

Mathematics
1 answer:
melisa1 [442]3 years ago
8 0

Answer:

<h3>area of the slice:      A = 12π in² ≈ 37.7 in² </h3><h3>lenght of its crust:  L = 24π in ≈ 6.28 in</h3>

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

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