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.
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