Question

Mohit travels $10m$ over a circular path having radius $10m$. Angle substended by Mohit at the center of circle is

• A. $1\text{rad}$
• B. $\frac{{180}^{\circ }}{\pi }$
• C. $\text{Both (a) and (b)}$
• D. $\text{None of these}$

Answer 1

The correct option is C $\text{Both (a) and (b)}$

We know
$\theta =\frac{l\text{(Length of arc)}}{r\text{(Radius of circle)}}$
Mohit travels $10m$ over a circular path.
$\therefore \text{Length of arc =}10m$
$\text{Radius of circular path =}10m\text{..(given)}$
$\therefore \theta =\frac{l}{r}=\frac{10m}{10m}=1rad=\frac{{180}^{\circ }}{\pi }$