Geometry and TrigonometryHardArea of a path around a pond
Geometry and Trigonometry practice question
A circular pond with a radius of 5 metres is surrounded by a path 1 metre wide. What is the area of the path?
- A. 11π square metresCorrect
- B. 36π square metres
- C. 25π square metres
- D. π square metres
Answer: A. 11π square metres
The outer radius is 6, so the path's area is 36π − 25π = 11π.
Why the other answers are wrong
- B. 36π square metres
- This is the area of pond and path together.
- C. 25π square metres
- This is the pond alone.
- D. π square metres
- This uses the difference of radii instead of the difference of squares.
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