Question

Jesper cleared $\frac{230}{360}$ parts of a circular region. What is the measure of the angle?

• A. ${250}^o$
• B. ${130}^o$
• C. ${260}^o$
• D. ${230}^o$

Answer 1

The correct option is D ${230}^o$

$\frac{230}{360}$ parts of a circular region were cleared by Jesper.
● $1$ 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, $230$ parts of the circular region measure $230$ degrees of an angle. So, the measure of the angle is $230$ degrees.
Hence, $D$ is the correct option.