Convert angles from Radians to Degrees automatically. Read about radians (rad) and degrees (°) units, and understand the conversion between radians and degrees.
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 degrees. The most common way to measure angles is to use degrees (°) as a unit of measurement. The degrees can be expressed in decimal or DMS (degrees, minutes, seconds) format. The full degrees are measured exactly the same way in both formats, but partial degrees are measured in different way. The degrees measurement units for angles are not the same as the degrees we use to measure temperature. Keyboard shortcut for a degrees symbol: Alt + 0176 (numeric pad).
Conversion. Understanding the conversion between degrees 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 360 degrees. So the relation between radians and degrees is: 2π rad = 360°.
Examples:
1 rad = 360 / (2π) = app. 57.29°
2 rad = 360 * 2 / (2π) = app. 114.59°
3.5 rad = 360 * 3.5 / (2π) = app. 200.53°
To convert vice versa, from degrees to radians, use this converter. To convert other angle units use these converters.