Question

find the fraction of a circle corresponding to the following angle.
60°
an angle of 60° corresponds to \boxed{} of a circle.
(type an integer or a simplified fraction.)

Explanation:

Step1: Recall the total degrees in a circle

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

Step2: Calculate the fraction

To find the fraction of the circle corresponding to \( 60^\circ \), we divide the angle by the total degrees in a circle. So the fraction is \( \frac{60}{360} \).

Step3: Simplify the fraction

Simplify \( \frac{60}{360} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 60. \( \frac{60\div60}{360\div60}=\frac{1}{6} \).

Answer:

\(\frac{1}{6}\)