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

Question

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

Professor PC Thomas Classes · Answer

(a) : Let $A B$ be the chord of a circle centre at $O$.
 Given $A B=$ radius of circle\ $	herefore \quad A B=O A=O B$\ $	herefore \quad \mathrm{AOB}$ is an equilateral triangle. So, angle subtended by the chord at the centre of circle is $60^{\circ}$.\ \