How Do You Convert a Degree Angle to Inches?

By Staff WriterLast Updated Apr 9, 2020 2:19:12 AM ET

There is no direct way to convert angular degrees to inches because they are units for different properties, or as it's often stated, they are "apples and oranges." However, knowing the measurement of an angle in degrees along with other information can sometimes provide you with the data needed to calculate the length of an associated property in inches, typically using trigonometric principles.


For example, consider a right triangle, where one interior angle is 90 degrees, by definition, and the other interior angles measure 36.86 degrees and 53.13 degrees. If the length of the hypotenuse is 5 inches, then the other sides of the triangle must measure 3 inches and 4 inches. If the hypotenuse is 10 inches, then the legs must measure 6 inches and 8 inches. The ratios of the lengths to each other remain constant; this holds true regardless of the interior angular measurements or the triangle's size.

It is possible to calculate the length of a triangle's side in inches or other units from the length of another leg and the measure of an interior angle in degrees. Science is replete with examples of calculations of lengths based in part on the measure of an angle.