Here we will explain, calculate, and show you what fraction of a circle 115 degrees is. More specifically, if you draw two lines from the center of a circle, creating 115 degrees, what will the area between the lines be as a fraction of the whole circle?
A full turn on a circle is 360 degrees. Therefore, to calculate what fraction of a circle any number of degrees is, you can simply put the number of degrees over 360.
When we put 115 over 360 and simplify if necessary, we get the answer to "What fraction of a circle is 115 degrees?" as follows:
degrees/360 = fraction
115/360 = 23/72
115 degrees = 23/72
Below is an illustration showing you what 115 degrees and 23/72 of a circle looks like.
To create the illustration above showing you 115 degrees, we first drew a circle and then drew two lines from the center, separated by 115 degrees. The slice that the two lines create inside the circle is 23/72 of the circle.
Degrees to Fraction of a Circle Calculator
Here you can convert another degree to a fraction of a circle.
What fraction of a circle is 116 degrees?
Here is another degree we have converted to a fraction for you.