question_answer

 A truck moves along a circular path and describes 100 m when it has traced out \[36{}^\circ \] at the centre. The radius of the circle Is equal to

A)  \[\frac{100}{\pi }\] metre

B)  \[\frac{250}{\pi }\] metre

C)  \[\frac{500}{\pi }\] metre      

D)       \[\frac{600}{\pi }\] metre

Correct Answer: C

Solution :

   \[AB=100\]metre \[\because \]     \[{{360}^{o}}=2\pi r\] \[\therefore \]    \[{{36}^{o}}=\frac{2\pi r}{360}\times 36=\frac{\pi r}{5}\] \[\therefore \]   \[\frac{\pi r}{5}=100\,\,\,\Rightarrow \,\,\,r=\frac{500}{\pi }\] metre