Geometry and TrigonometryVery hardSector area from a central angle
Geometry and Trigonometry practice question
A circle has an area of 36π. A sector of the circle has a central angle of 60°. The area of the sector is kπ. What is the value of k?
Answer: 6
60° is 1/6 of the circle, so the sector's area is 36π/6 = 6π.
Common wrong answers
- If you answered 3
- 3 uses 1/12 of the circle.
- If you answered 12
- 12 uses 1/3 of the circle.
- If you answered 60
- 60 copies the angle.
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