Two routes around a circular lake
Two routes around a circular lake
5 marks
TGM Original
Two paths from A to B follow the two arcs of a circular lake of radius 10 m. The longer path is 8pi m longer than the shorter path. Find both path lengths and the smaller central angle in radians.
Solution:
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Answer:Shorter \(6\pi\text{ m}\); longer \(14\pi\text{ m}\); angle \(\frac{3\pi}{5}\) radians.
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