What fraction of a circle is 40 degrees?

Here we will explain, calculate, and show you what fraction of a circle 40 degrees is. More specifically, if you draw two lines from the center of a circle, creating 40 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 40 over 360 and simplify if necessary, we get the answer to "What fraction of a circle is 40 degrees?" as follows:

degrees/360 = fraction
40/360 = 1/9
40 degrees = 1/9

Below is an illustration showing you what 40 degrees and 1/9 of a circle looks like.

To create the illustration above showing you 40 degrees, we first drew a circle and then drew two lines from the center, separated by 40 degrees. The slice that the two lines create inside the circle is 1/9 of the circle.

Degrees to Fraction of a Circle Calculator
Here you can convert another degree to a fraction of a circle.

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