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. ${30}^{\circ }$
• B. ${45}^{\circ }$
• C. ${60}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is A ${30}^{\circ }$

Hence $\Delta$ OAB is equilateral so that $\angle AOB={60}^{\circ }$
Hence the angle subtended by AB on the longer side of the circle
$=\frac{1}{2}\angle AOB={30}^{\circ }$