Convert Degree to Radian - Free Calculator
Fast, accurate angles conversion calculator. Convert degree to radian instantly with precise results.
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How to Convert Degree to Radian
Use this free online calculator to convert Degree to Radian instantly. This angles conversion tool provides accurate results for all your measurement needs.
Quick Reference
Degree to Radian Conversion Formula
To convert Degree to Radian, multiply by 0.0174533.
To convert Radian back to Degree, divide by 0.0174533 (or multiply by 57.2958).
About These Units
About Degree
The <b>degree</b> is the standard unit of angle measure, equal to 1/360 circle, 60 minutes, 3600 seconds, or about 0.017 453 293 radian. So far as we know, this unit was introduced by the Greek geometer Hipparchus of Nicaea (ca. 180-ca. 125 BC), who developed the first trigonometric tables.
About Radian
The radian is a unit of angle measure widely used in mathematics and science. One radian is the angle at the center of a circle that cuts off an arc of length equal to the radius. Since the circumference equals 2 pi times the radius, one radian equals 1/(2 pi) of the circle, or approximately 57.295 779°. Using radians to measure angles seems unnatural at first. However, when angles are stated in radians the constant pi tends to disappear from the equations, and this greatly simplifies calculation. For example, the length of an arc is simply its radius multiplied by its angular measure in radians, and the area of a sector of a circle is simply its angular measure in radians multiplied by half the square of the radius. The radian was defined and named by James Thomson in 1873. Thomson was a mathematics professor at Queens College, Belfast, Northern Ireland, and the brother of the famous physicist William Thomson, Lord Kelvin.
Degree to Radian Conversion Table
| Degree | Radian | Radian | Degree |
|---|---|---|---|
| 0.1 | 0.00174533 | 0.1 | 5.72958 |
| 0.5 | 0.00872665 | 0.5 | 28.6479 |
| 1 | 0.0174533 | 1 | 57.2958 |
| 2 | 0.0349066 | 2 | 114.592 |
| 5 | 0.0872665 | 5 | 286.479 |
| 10 | 0.174533 | 10 | 572.958 |
| 20 | 0.349066 | 20 | 1,145.92 |
| 25 | 0.436332 | 25 | 1,432.39 |
| 50 | 0.872665 | 50 | 2,864.79 |
| 100 | 1.74533 | 100 | 5,729.58 |
| 250 | 4.36332 | 250 | 14,323.9 |
| 500 | 8.72665 | 500 | 28,647.9 |
| 1000 | 17.4533 | 1000 | 57,295.8 |
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