Convert degrees to radians

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Degree

A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle, defined so that a full rotation is 360 degrees.

It is not an SI unit, as the SI unit of angular measure is the radian, but it is mentioned in the SI brochure as an accepted unit.[4] Because a full rotation equals 2π radians, one degree is equivalent to π/180 radians. 


Radian

The radian (symbol: rad) is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees (expansion at OEIS: A072097). The unit was formerly an SI supplementary unit, but this category was abolished in 1995 and the radian is now considered an SI derived unit.

The radian is defined in the SI as being a dimensionless value, and its symbol is accordingly often omitted, especially in mathematical writing. 


Degree to Radian conversion table
DegreeRadian
10.0174533
20.0349066
50.0872665
100.174533
250.436332
500.872665
1001.74533
5008.72665
100017.4533

Most common angle unit conversions