Question

The central angle of a part of a circle which is divided into $6$ equal parts is:

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

Answer 1

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

Central angle $={360}^{\circ }$

Now park is divided in four equal parts.

Let measure of central angle $=x^o$

$x+x+x+x+x+x={360}^{\circ }6x={360}^{\circ }x=\frac{{360}^{\circ }}{6}\Rightarrow x={60}^{\circ }$

So option $A$ is correct.