Here we will explain, calculate, and show you what fraction of a circle 159 degrees is. More specifically, if you draw two lines from the center of a circle, creating 159 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 159 over 360 and simplify if necessary, we get the answer to "What fraction of a circle is 159 degrees?" as follows:
degrees/360 = fraction
159/360 = 53/120
159 degrees = 53/120
Below is an illustration showing you what 159 degrees and 53/120 of a circle looks like.
To create the illustration above showing you 159 degrees, we first drew a circle and then drew two lines from the center, separated by 159 degrees. The slice that the two lines create inside the circle is 53/120 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 160 degrees?
Here is another degree we have converted to a fraction for you.