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Question

# A particle moves on a circular arc of radius r, the distance covered by particle when it travels from A to B on the arc subtending an angle 60∘ at centre of circular path.

A
2πr9
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B
2πr6
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C
3πr4
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D
2πr8
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Solution

## The correct option is B 2πr6In this case the distance travelled by particle will be equal to perimeter of arc or length of arc. Distance travelled will be, S=2πr(θ360∘) Here θ=60∘ ⇒S=2πr(60∘360∘) ∴S=2πr6 Hence we can see that distance travelled will be 16th of the total circumference of circular path.

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