Angle converter
Type an angle, choose the units, and see the result and the same angle in every common unit. Radians use the exact value of pi, and a NATO mil is 1/6400 of a full turn.
Runs in your browser: nothing you enter is sent anywhere.
How to use it
- Type a number. A dot or a comma works as the decimal separator.
- Choose the unit you have and the unit you need. The ⇄ button swaps them.
- The table below shows the same angle in all common units at once.
Conversion factors
Every unit is converted through the degree.
| Unit |
In degrees |
| 1 radian |
180/π ≈ 57.29577951° |
| 1 gradian |
0.9° |
| 1 arcminute |
1/60° |
| 1 arcsecond |
1/3600° |
| 1 turn |
360° |
| 1 NATO mil |
0.05625° |
Worked example
An angle of 45° is 45 × π/180 = 0.7854 rad, 50 grad, 2,700 arcminutes, 0.125 turn and 800 mils.
Quick reference
- 360° = 2π rad = 400 grad = 1 turn = 6400 mils
- 90° = π/2 rad = 100 grad = 1600 mils
- 1° = 60′ = 3,600″
Frequently asked questions
How many degrees is one radian?
180/π, which is about 57.29578°. A full turn is 2π radians, so π radians is 180°.
What is a gradian?
A gradian (gon, grad) is 1/400 of a full turn, so a right angle is exactly 100 grad and 1 grad is 0.9°. It is used in some surveying work.
How many arcminutes and arcseconds are in a degree?
60 arcminutes (′) and 3,600 arcseconds (″). So 1′ = 1/60° and 1″ = 1/3600°.
What is a mil?
Definitions of a mil differ. This converter uses the NATO mil, 1/6400 of a full turn, so 1 mil = 0.05625° and 6400 mils make a circle. The Russian mil (1/6000) and the true milliradian (about 1/6283) are different.
How do I convert degrees to radians by hand?
Multiply degrees by π/180. For example 90° × π/180 = π/2 ≈ 1.5708 rad.