Question

an angle turns through \\(\frac{1}{360}\\) of a circle. what is the measure, in degrees, of the angle? type the answer in the box.

Explanation:

Step1: Recall the total degrees in a circle

A full circle has a measure of \( 360^\circ \).

Step2: Calculate the angle measure

The angle turns through \( \frac{1}{360} \) of a circle. So we multiply the fraction of the circle by the total degrees in a circle: \( \frac{1}{360} \times 360^\circ \).
Simplifying this, \( \frac{1}{360} \times 360 = 1 \), so the angle measure is \( 1^\circ \).

Answer:

\( 1 \)