Questions: (a) How many degrees is 1/4 of a circle or 1/4 of a full turn? (b) How many degrees is 1/6 of a circle or 1/6 of a full turn?

Solution Steps

To find the number of degrees in a fraction of a circle or a full turn, we need to multiply the fraction by 360 degrees, since a full circle is 360 degrees.

(a) For $\frac{1}{4}$ of a circle, multiply $\frac{1}{4}$ by 360. (b) For $\frac{1}{6}$ of a circle, multiply $\frac{1}{6}$ by 360.

To find \(\frac{1}{4}\) of a circle, we multiply \(\frac{1}{4}\) by 360 degrees: \[ \frac{1}{4} \times 360 = 90 \text{ degrees} \]

To find \(\frac{1}{6}\) of a circle, we multiply \(\frac{1}{6}\) by 360 degrees: \[ \frac{1}{6} \times 360 = 60 \text{ degrees} \]

Final Answer