how much of a circle does a 100-degree angle turn through?

To find how much of a circle a 100-degree angle turns through, you can express the angle as a fraction of the full circle.

Step-by-step solution:

1. Total degrees in a circle:
   A full circle measures 360 degrees.

2. Given angle:
   100 degrees.

3. Fraction of the circle:

100360=518\frac{100}{360}=\frac{5}{18}360100​=185​

4. Decimal form:

518≈0.2777\frac{5}{18}\approx 0.2777185​≈0.2777

Answer:

A 100-degree angle turns through 5/18 (or approximately 27.78%) of a full circle.