Question

Lobo takes a turn of $\frac{1}{6}$ part of a circle to move toward east. What is the measure of the angle?

• A. $90°$
• B. $30°$
• C. $60°$
• D. $230°$

Answer 1

The correct option is C $60°$

We need to calculate the degree measure of the angle.
● $360°$ is the measure of the angle in one complete circle.
● $1$ degree is the measure of the angle that occupies $\frac{1}{360}$ of a circle.
● We can convert $\frac{1}{6}$ part of a circle into degrees by changing the denominator to $360$.
● $\frac{1}{6}\times \frac{60}{60}=\frac{60}{360}$
● $60°$ is the measure of the angle in degrees.

Hence, A is the correct option.