Degrees to Radians
1 deg equals 0.0175 rad.
View table →Math & Trig (deg / rad / grad / turn)
Radians to Degrees
1 rad equals 57.3 deg.
View table →Degrees to Gradians
1 deg equals 1.11 grad.
View table →Gradians to Degrees
1 grad equals 0.9 deg.
View table →Radians to Gradians
1 rad equals 63.66 grad.
View table →Gradians to Radians
1 grad equals 0.0157 rad.
View table →Turns to Degrees
1 turns equals 360 deg.
View table →Degrees to Turns
1 deg equals 0.00278 turns.
View table →Turns to Radians
1 turns equals 6.28 rad.
View table →Radians to Turns
1 rad equals 0.159 turns.
View table →Precision & Astronomy (arcmin / arcsec)
Degrees to Arcminutes
1 deg equals 60 arcmin.
View table →Arcminutes to Degrees
1 arcmin equals 0.0167 deg.
View table →Degrees to Arcseconds
1 deg equals 3600 arcsec.
View table →Arcseconds to Degrees
1 arcsec equals 0.000278 deg.
View table →Arcminutes to Arcseconds
1 arcmin equals 60 arcsec.
View table →Arcseconds to Arcminutes
1 arcsec equals 0.0167 arcmin.
View table →Frequently Asked Questions
How do I convert degrees to radians?
A full circle spans 2π radians or 360°, so 180° = π rad. From this: 1° = π/180 ≈ 0.0175 rad and 1 rad = 180/π ≈ 57.2958°. So multiply degrees by π/180 to get radians.
What is a gradian (gon)?
The gradian (also called gon) divides the full circle into 400 parts instead of 360. A full turn is therefore 400 grad = 360°, so 1 grad = 0.9°. A right angle is exactly 100 grad — which is why gradians are mainly used in surveying.
What are arcminutes and arcseconds?
They subdivide the degree finely: 1° = 60 arcminutes (′) and 1 arcminute = 60 arcseconds (″), so 1° = 3,600 arcseconds. These units are used in astronomy and navigation for very small angles.
How many degrees are in one turn?
One full turn equals 360°, 2π radians, or 400 gradians. A half turn is 180° = π rad, and a quarter turn is 90° = π/2 rad.
Are these conversions exact?
Yes. Angle conversions rest on fixed factors (π for radians, 0.9 for gradians, 60 and 3,600 for arcminutes and arcseconds); the values are only rounded for readability.