Geometry and TrigonometryHardCurved edge of a pizza slice
Geometry and Trigonometry practice question
A circular pizza has a radius of 12 inches. A slice is cut with a central angle of 150°. What is the length, in inches, of the curved crust edge of the slice?
- A. 10πCorrect
- B. 5π
- C. 20π
- D. 60π
Answer: A. 10π
The whole crust is 2π(12) = 24π. The slice takes 150/360 = 5/12 of it: (5/12)(24π) = 10π.
Why the other answers are wrong
- B. 5π
- 5π is half the answer — the slice is 5/12 of the circle, not 5/24.
- C. 20π
- 20π uses 300°, twice the angle.
- D. 60π
- 60π is (150/360) × π × 12² — the AREA of the slice, not its edge.
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