Geometry and TrigonometryHardSector area as a coefficient of pi
Geometry and Trigonometry practice question
A circle has radius 8. A sector with a central angle of 45° has an area that can be written as kπ. What is the value of k?
Answer: 8
The full area is 64π, and 45/360 = 1/8 of it is 8π.
Common wrong answers
- If you answered 2
- 2 is the arc length's coefficient.
- If you answered 16
- 16 uses 90°.
- If you answered 64
- 64 is the full circle.
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