An arc of length 15 cm subtends an angle of 45° at the centre of a ci

1.	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.
Answer» 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

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.

Answer»

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