Convert angles from Radians to Percent automatically. Read about radians (rad) and percent (%) units, and understand the conversion between radians and percent.
About radians. When you use radians units you measure angles in relation to the radius of the circle. A radian is an angle formed by two radius lines that connect the center of the circle and endpoints of the arc of length equal to the radius of the circle. You take radius of a circle and place its length on the circumference of the circle. So the angle of one radian is formed by three radius lines: two straight lines and one curved line, all of the same length r.
About percent. The full circle is 100%, which means that 100% of the circle is 360°. Do not confuse this percent measure with the percent we use to measure slopes.
Conversion. Understanding the conversion between percent and radians. Circumference is the entire boundary of the circle and it equals 2πr. So in order to cover the circumference of the circle you need 2π (or approximately 6.28) arcs of length r. One full rotation equals 2π Radians or 100 percent. So the relation between degrees and radians is: 2π rad = 100%.
Examples:
1 rad = 100 / (2π) = app. 15.91%
2 rad = 100 * 2 / (2π) = app. 31.83%
3.5 rad = 100 * 3.5 / (2π) = app. 55.70%
To convert vice versa, from radians to percent, use this converter. To convert other angle units use these converters.