Question

A constellation rotates $\frac{1}{15}$ part of a circle in a week. What is the measure of the angle?

• A. $50°$
• B. $24°$
• C. $60°$
• D. $30°$

Answer 1

The correct option is B $24°$

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 $\frac{1}{15}$ part of a circle into degrees by changing the denominator to $360$.
● $\frac{1}{15}\times \frac{24}{24}=\frac{24}{360}$
● $24°$ is the measure of the angle in degrees.
Hence, D is the correct option.