Here we will explain, calculate, and show you what fraction of a circle 5 degrees is. More specifically, if you draw two lines from the center of a circle, creating 5 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 5 over 360 and simplify if necessary, we get the answer to "What fraction of a circle is 5 degrees?" as follows:
degrees/360 = fraction
5/360 = 1/72
5 degrees = 1/72
Below is an illustration showing you what 5 degrees and 1/72 of a circle looks like.
To create the illustration above showing you 5 degrees, we first drew a circle and then drew two lines from the center, separated by 5 degrees. The slice that the two lines create inside the circle is 1/72 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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