Question

what is the measure of an angle, in degrees, that represents \\(\frac{36}{360}\\) of a circle?

Explanation:

Step1: Recall the total degrees in a circle

A full circle has 360 degrees.

Step2: Calculate the angle measure

To find the measure of the angle that represents $\frac{36}{360}$ of a circle, we multiply the fraction by the total degrees in a circle. So we calculate $\frac{36}{360} \times 360$. The 360 in the numerator and denominator cancels out (or we can simplify $\frac{36}{360}$ to $\frac{1}{10}$ first, then $\frac{1}{10} \times 360 = 36$), resulting in 36 degrees.

Answer:

36