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प्रश्न
What must be the radius of a circular running path, around which an athlete must run 5 times in order to describe 1 km?
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उत्तर
Let the radius of the circular path be = r m.
Length of the circular path s = 1 km
s = 1000 m.
Athlete runs 5 times around the path to cover 1 k. m distance
∴ θ = 360° × 5
θ = 360° × 5 × `pi/180` radians
θ = 10 π radians
s = r θ
1000 = r 10 π
r = `1000/(10pi)`
r = `(1000 xx 7)/(10 xx 22) = 350/11`
r = 31 .818 meters
Radius of the circular path = 31 .82 meters
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