Question

this angle cuts out \\(\frac{1}{4}\\) of the circle. find the measure of the angle.

Explanation:

Step1: Recall the total degrees in a circle

A full circle has \( 360^\circ \).

Step2: Calculate the angle for \( \frac{1}{4} \) of the circle

To find the measure of the angle that cuts out \( \frac{1}{4} \) of the circle, we multiply the total degrees in a circle by \( \frac{1}{4} \). So the angle measure \( = 360^\circ\times\frac{1}{4} \).
Calculating \( 360\times\frac{1}{4} = 90 \).

Answer:

\( 90^\circ \)