Question

A group of monsters covers $\frac{30}{360}$ parts of a circular region. What is the measure of the angle?

• A. ${230}^o$
• B. ${130}^o$
• C. ${30}^o$
• D. ${60}^o$

Answer 1

The correct option is C ${30}^o$

$\frac{30}{360}$ parts of the circular region were covered by the monsters.
● 1 degree is the measure of the angle that occupies $\frac{1}{360}$ of a circle.


● As one part of a circular region measures 1 degree of an angle, 30 parts of the circular region measure 30 degrees of an angle. So, the measure of the angle is 30 degrees.
Hence, B is the correct option.