Question

If a circle of unit radius is divided into two parts by an arc of another circle subtending an angle ${60}^o$ on the circumference of the first circle, then the radius of the arc is

• A. $\sqrt{3}$
• B. 1/2
• C. 1
• D. $\sqrt{2}$

Answer 1

The correct option is A $\sqrt{3}$

If a circle of unit radius is divided into two parts, by an arc of another circle subtending an angle of ${60}^{\circ }$ on the circumference of the first circle, then the radius of the arc$=2\times \sin {60}^{\circ }=2\times \frac{\sqrt{3}}{2}=\sqrt{3}$