Question

If the length of a chord of a circle is equal to the radius, then the angle subtended by it at the centre is

• A. ${45}^o$
• B. ${55}^o$
• C. ${60}^o$
• D. ${65}^o$

Answer 1

The correct option is C ${60}^o$

Length of chord $=L=2r\sin \theta =r$

$\sin \theta =\frac{1}{2}$

$\therefore \theta ={30}^o$

Angle subtended by chord at centre$=2\theta ={60}^o$