What fraction of a circle is 4 degrees?




Here we will explain, calculate, and show you what fraction of a circle 4 degrees is. More specifically, if you draw two lines from the center of a circle, creating 4 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 4 over 360 and simplify if necessary, we get the answer to "What fraction of a circle is 4 degrees?" as follows:

degrees/360 = fraction
4/360 = 1/90
4 degrees = 1/90


Below is an illustration showing you what 4 degrees and 1/90 of a circle looks like.



To create the illustration above showing you 4 degrees, we first drew a circle and then drew two lines from the center, separated by 4 degrees. The slice that the two lines create inside the circle is 1/90 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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