Geometry and TrigonometryMediumSector area as a fraction of the circle
Geometry and Trigonometry practice question
A circular pizza with an area of 36π square inches is cut into equal slices, each with a central angle of 120°. What is the area, in square inches, of one slice? (Give your answer as a multiple of π, written without the π symbol.)
Answer: 12
120° is 120/360 = 1/3 of the pizza, so a slice is 36π/3 = 12π. The multiple of π is 12.
Common wrong answers
- If you answered 3
- 3 divides 360 by 120 — the NUMBER of slices, not the area.
- If you answered 6
- 6 uses 1/6 (a 60° slice).
- If you answered 9
- 9 uses 1/4 of the pizza (a 90° slice).
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