Angle Converter
Convert between degrees, radians, gradians, arcminutes, arcseconds, and revolutions. Just enter a value and pick a unit to see the conversion to every unit in one table.
Last updated:
Input
Convert from
Degree（°）
Result
In radians (rad)
1.570796rad
| Unit | Symbol | Converted value |
|---|---|---|
| Radian | rad | 1.570796 |
| Degree | ° | 90 |
| Gradian | gon | 100 |
| Arcminute | ′ | 5,400 |
| Arcsecond | ″ | 324,000 |
| Revolution | rev | 0.25 |
How it works
- Supports six angle units — degrees (°), radians (rad), gradians (gon), arcminutes (′), arcseconds (″), and revolutions (rev) — and converts your input to all of them at once.
- Conversions use radians (rad) as the base. With a full turn = 2π rad = 360° = 400 gon = 1 revolution, it computes 1 degree = π/180 rad, 1 arcminute = 1/60 of a degree, and 1 arcsecond = 1/3600 of a degree using exact definitions.
- To use it, enter the value you want to convert and choose its unit from the dropdown. The radian conversion is shown prominently at the top, with the full conversion table for every unit below.
- Because radians involve the irrational number π, conversions from degrees and other units do not divide evenly and are shown as approximations rounded to the displayed number of digits.
- Very large or very small values are shown in exponential notation (e.g. 1.2345e-7). When you need an exact result, we recommend verifying with the original definition.
Frequently asked questions
- How do you convert degrees to radians?
- Radians (rad) are the base unit, with 1 degree = π/180 rad — so 180° equals π rad. The tool uses the relationship of one full turn = 2π rad = 360° = 400 gon = 1 revolution to convert all units at once.
- How do gradians (gon) and revolutions compare to degrees?
- A gradian divides a right angle into 100 parts, so a full turn is 400 gon and 90° = 100 gon, while one revolution (rev) is simply 360°. Degrees, radians, gradians, arcminutes, arcseconds, and revolutions all convert together.
- How many arcminutes and arcseconds are in one degree?
- One degree equals 60 arcminutes (′), and each arcminute is 60 arcseconds (″), so one degree is 3600 arcseconds. Because radians involve π, conversions to and from them are irrational and shown as rounded approximations.
Reviews
Tell us what you think of this calculator.
Write a review
Found an incorrect result or a problem? Turn this on to report it.
Rating