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An arc of length 15 cm subtends an angle of 45° at the centre of a circle. Find in terms of , the radius of the circle.

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Arc length = 15 cm 

Angle subtend = 45°

\(\frac{45\timesπ}{180°}\) = \(\frac{π}{4}\) radius

radius of circle = \(\frac{arc\,length}{angle\,subtend\,at\,centre}\)

\(\frac{15\times4}{π}\) = \(\frac{60°}{π}\) cm

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