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Question

What is the length of an arc which subtends angle θ (degrees) at the centre in a circle of radius r?


A

(πrθ)/180

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B

(πrθ)/360

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C

(πrθ)/60

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D

(πrθ)/90

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Solution

The correct option is A

(πrθ)/180


For an angle of 360 subtended at the centre, the arc length is nothing but the circumference of circle that is 2πr where r is circle radius. For an angle of θ, the arc length will be θ360×2πr =θ180×πr.


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