To determine how much of a circle a 100-degree angle turns through, you can compare the angle to the total degrees in a circle. A full circle is 360 degrees.
To find out what fraction of the circle the 100-degree angle represents, you can use the formula:
\[ \text{Fraction of circle} = \frac{\text{Angle}}{360^\circ} \]
So for a 100-degree angle:
\[ \text{Fraction of circle} = \frac{100^\circ}{360^\circ} = \frac{100}{360} = \frac{5}{18} \]
Thus, a 100-degree angle turns through \(\frac{5}{18}\) of a full circle.
To express it in terms of degrees, we can also calculate how many degrees remain to complete the circle:
\[ 360^\circ - 100^\circ = 260^\circ \]
So the 100-degree angle covers \( \frac{5}{18} \) of the circle, or 100 degrees specifically.