Question

A circular paper is divided into $4$ equal parts by cutting it through two diameters. Then the central angle of each part is equal to:

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

Answer 1

Answer: (B)

${90}^{\circ }$

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

Now circular piece of paper is divided in four equal parts .

Let measure of central angle $=x$

$\Rightarrow x+x+x+x={360}^{\circ }\Rightarrow 4x={360}^{\circ }\Rightarrow x=\frac{{360}^{\circ }}{4}\Rightarrow x={90}^{\circ }$

So option $B$ is correct.