Find the length of an arc of a circle which subtends an angle of 108° – InterviewSolution

1.

Find the length of an arc of a circle which subtends an angle of 108° at the centre, if the radius of the circle is 15 cm.

Answer»

Here, r = 15cm and

θ = 108° = \(\left(108 \times \frac{\pi}{180}\right)^c\) \(=\left(\frac{3\pi}{5}\right)^c\)

Since S = r.θ

S = 15 x 3π/5

= 9π cm.

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