Question

A constellation moves $\frac{1}{4}$ part of a circular orbit in one day. What is the measure of the angle in degrees?

• A. $60°$
• B. $130°$
• C. $230°$
• D. $90°$

Answer 1

The correct option is D $90°$

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 part of a circle into degrees by changing the denominator to 360.
● $\frac{1}{4}\times \frac{90}{90}=\frac{90}{360}$
● $90°$ is the measure of the angle in degrees.

Hence, C is the correct option.