The length of an arc of a circle with radius 12 cm is $10 \pi \mathrm{~cm}$. The angle subtended by

Question

The length of an arc of a circle with radius 12 cm is $10 \pi \mathrm{~cm}$. The angle subtended by the arc at the centre of the circle, is :\

Professor PC Thomas Classes · Answer

(d):Given, radius $=12 \mathrm{~cm}$
 Length of an arc of circle $=10 \pi \mathrm{~cm}$\ Length of arc of circle $=\frac{	heta}{360^{\circ}} 	imes 2 \pi r$\ $\Rightarrow 10 \pi=\frac{	heta}{360^{\circ}} 	imes 2 \pi(12) \Rightarrow 	heta=\frac{10 \pi 	imes 360^{\circ}}{24 \pi}=150^{\circ}$\