Question

A group of monsters painted $\frac{70}{360}$ parts of a circular area. What is the measure of the angle?

• A. ${230}^o$
• B. ${60}^o$
• C. ${30}^o$
• D. ${70}^o$

Answer 1

The correct option is D ${70}^o$

$\frac{70}{360}$ parts of a circular area were painted 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 area measures 1 degree of an angle, 70 parts of the circular area measure 70 degrees of an angle. So, the measure of the angle is 70 degrees.
Hence, A is the correct option.