Geometry and TrigonometryVery hardPerimeter of a quarter circle
Geometry and Trigonometry practice question
A quarter circle has radius 10. What is the perimeter of the quarter circle, including its two straight edges?
- A. 20 + 5πCorrect
- B. 5π
- C. 10 + 5π
- D. 20 + 10π
Answer: A. 20 + 5π
Two radii of 10 plus a quarter of the circumference 20π, which is 5π.
Why the other answers are wrong
- B. 5π
- 5π is the arc alone.
- C. 10 + 5π
- 10 + 5π counts only one radius.
- D. 20 + 10π
- 20 + 10π uses half the circumference.
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