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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.

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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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