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

A 100-degree angle turns through 518\frac{5}{18}185​ of a full circle, which is about 27.8% of the circle.

Quick breakdown

• A full circle has 360 degrees.

• The fraction of a circle for a 100-degree angle is

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

• As a percentage, 518≈27.78%\frac{5}{18}\approx 27.78%185​≈27.78%, so the angle covers about 27.8% of the circle.

So in words: a 100-degree angle turns through a little more than one-quarter of a full circle.

Information gathered from public forums or data available on the internet and portrayed here.