How do you convert degree to radian?
To convert degree to radian, divide the degree value by 57.2957795131. One ° is equal to 0.01745329252 rad.
Radian = Degree ÷ 57.2957795131
Degree to Radian conversion table
| Degree | Radian |
|---|---|
| 30 ° | 0.523598775598 rad |
| 45 ° | 0.785398163397 rad |
| 60 ° | 1.0471975512 rad |
| 90 ° | 1.57079632679 rad |
| 180 ° | 3.14159265359 rad |
| 270 ° | 4.71238898038 rad |
| 360 ° | 6.28318530718 rad |
What is Degree?
The degree is the most common practical angle unit, dividing a full circle into 360 equal parts.
Short history of Degree
Its origin traces to ancient Babylonian base-60 mathematics; 360's many divisors made it practical for everyday use.
Open the Degree unit guideWhat is Radian?
The radian is the SI unit of angle, defined as the angle subtended at the center of a circle by an arc equal in length to the radius.
Short history of Radian
Proposed in 1873 by Scottish physicist James Thomson, it was adopted as the SI angle unit for its natural fit in mathematical calculations.
Open the Radian unit guideFrequently asked questions
How precise are the results?
Conversion results are calculated to 12 significant figures. Very large or very small values are shown in scientific notation.
Is the Degree to Radian converter free?
Yes. The conversion tool on BirimCeviri.app is free and requires no sign-up.
Sources
The definitions and conversion relationships on this page are aligned with standard metrology and SI reference material.