Question

What will be the angle in each sector that is to be considered?

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

Answer 1

The correct option is C ${60}^{\circ }$

The angle in each sector will be the angle at each vertex of the equilateral triangle which is ${60}^{\circ }$. In each sector, there will be an angle called $\theta$, which is called the central angle. Here the given triangle is equilateral, since all the 3 sides are equal, which is equal to the diameter of the circle and all the angles are equal, which is equal to ${60}^{\circ }$, then the central angle will be equal to ${60}^{\circ }$.