Here we will explain, calculate, and show you what fraction of a circle 3 degrees is. More specifically, if you draw two lines from the center of a circle, creating 3 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 3 over 360 and simplify if necessary, we get the answer to "What fraction of a circle is 3 degrees?" as follows:
degrees/360 = fraction
3/360 = 1/120
3 degrees = 1/120
Below is an illustration showing you what 3 degrees and 1/120 of a circle looks like.
To create the illustration above showing you 3 degrees, we first drew a circle and then drew two lines from the center, separated by 3 degrees. The slice that the two lines create inside the circle is 1/120 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 4 degrees?
Here is another degree we have converted to a fraction for you.