Q. The circular wire of diameter 10 cm is cut and placed along the circumference of a circle of diameter 1 m. The angle subtended by the wire at the center of the circle is equal to
A) $\frac{\pi}{4}rad\$
B) $\frac{\pi}{3}\ rad$
C) $\frac{\pi}{5}rad$
D) $\frac{\pi}{10}\ rad$
Explanation
(c)
Given that, diameter of circular wire=10 cm
$\therefore\ Length\ of\ wire = 10\pi$
Hence, $required\ angle = \frac{length\ of\ arc}{radius\ of\ big\ circle}$
$= \frac{10\pi}{50} = \frac{\pi}{5}rad$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.