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Question

# In the given figure with B as centre, the length of the minor arc AC subtending an angle θ at the centre is y and the circumference is x. Find the ratio y : x.

A

x = (y × θ)/360

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B

x = (y × θ)/180

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C

y = (x × θ)/360

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D

y = (x × θ)/260

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Solution

## The correct option is A x = (y × θ)/360 Length of the arc is directly proportional to the angle subtended at the centre. Given, that an angle θ is subtended by an arc of length y. For the full circle, the angle is 360∘ and the arc length is the circumference, x. yθ=x360 ⇒yx=θ360

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