• # question_answer The circular wire of diameter 10cm is cut and placed along the circumference of a circle of diameter 1 metre. The angle subtended by the wire at the centre of the circle is equal to [MNR 1974] A) $\frac{\pi }{4}radian$ B) $\frac{\pi }{3}radian$ C) $\frac{\pi }{5}radian$ D) $\frac{\pi }{10}radian$

Given, diameter of circular wire =$10cm$, therefore length of wire =$10\pi$. Hence required angle $=\frac{\text{arc}}{\text{radius}}=\frac{10\pi }{50}=\frac{\pi }{5}$ radian.