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Degree to Radian Converter - Radian to Degree Conversion

The online conversion tool is used for a given angle to convert degree to radian and also vice-versa from radian to degree. Angles can be measured in units of either degrees or radians. The symbol for degree is ◦. Usually no symbol is used to denote radians.

A complete revolution is defined as 360◦ or 2π radians. π stands for the number 3.14159 . . . and you can work with this if you prefer. However in many calculations you will find that you need to work directly with multiples of π.

Degrees to Radian Converter


Degree Definition

Degrees: one degree (1°) is a rotation of 1/360 of a complete revolution about the vertex. We can think of this as going all the way around the circle. There are 360 degrees in one full rotation.

Radian Definition

Radian: One Radian is the measure of a central angle θ that intercepts an arc s equal in length to the radius r of the circle. Since the radian is measured in terms one r on the arc of a circle and the complete circumference of the circle is 2πr then there are 2π radians in one full rotation. This gives us a way to convert between degrees and radians:

360° = 2π rad

To convert from degrees to radians, we multiply degrees by π rad / 180°

To convert from radians to degrees, we multiply radians by 180° / π rad

Degree to Radian Formula

Degrees to Radian Formula