Find the angle subtended at the centre of a circle of radius 5 cm by a

1.	Find the angle subtended at the centre of a circle of radius 5 cm by an arc of length (\(\frac{5π}3\)) cm
Answer» Arc length = \(\frac{5π}3\) cm Radius of circle = 5 cm Formula: Arc length = r × q r = radius of circle q = angle subtended by arc at the center = \(\frac{5π}3\) = 5 x q q = \(\frac{5π}{3\times5}\) = \(\frac{π}3\) = \(\frac{180}3\) = 60°

Find the angle subtended at the centre of a circle of radius 5 cm by an arc of length (\(\frac{5π}3\)) cm

Answer»

Arc length = \(\frac{5π}3\) cm

Radius of circle = 5 cm

Formula:

Arc length = r × q

r = radius of circle

q = angle subtended by arc at the center

= \(\frac{5π}3\) = 5 x q

q = \(\frac{5π}{3\times5}\) = \(\frac{π}3\) = \(\frac{180}3\) = 60°