Question

The length of a chord of a circle is equal to the radius of the circle. The angle which this chord subtends on the longer segment of the circle is equal to

• A. ${30}^o$
• B. ${45}^o$
• C. ${60}^o$
• D. ${90}^o$

Answer 1

The correct option is A ${30}^o$

$BC$ be chord equal to radius $r$. $O$ is centre
$\Rightarrow OB=OC=BC=r$
$\therefore \angle BOC={60}^o\Rightarrow \angle BAC=\frac{1}{2}\angle BOC=B={30}^o$