OTHER · ANGLE CONVERTER
Angle Converter Calculator
Convert between degrees, radians, gradians (gon), arcminutes, arcseconds, and turns using exact ISO 31-1 mathematical relationships.
3.1416
rad
180 ° = 3.1416 rad
About This Calculator
Convert any angle between degrees, radians, gradians, arcminutes, arcseconds, and full turns instantly — the standard units for geometry, trigonometry, and surveying.
How It Works
Select a source unit and a target unit, then enter your value. The converter expresses every unit relative to the radian (the SI base), multiplies by the source factor, and divides by the target factor.
The Formula
result = value × factor(from) ÷ factor(to), where each factor is the unit's size in radians (e.g. 1° = π/180 rad; 1 turn = 2π rad; 1 gradian = π/200 rad).
Frequently Asked Questions
- How many degrees are in a radian?
- One radian equals 180/π ≈ 57.2958°. A full circle is 2π radians = 360°.
- What is a gradian (gon)?
- A gradian divides a right angle into 100 parts, so a full circle is 400 gradians. It is used in surveying and some European engineering contexts.
- How do arcminutes and arcseconds relate to degrees?
- One degree contains 60 arcminutes, and one arcminute contains 60 arcseconds — so 1° = 3600 arcseconds.