Angle Converter
Convert angles between degrees, radians, gradians, turns, arcminutes, arcseconds, and milliradians at once, plus the sine/cosine/tangent for that angle. Enter one value, pick its unit, and see the equivalent in every unit.
Input
Output
| Unit | Value |
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| Function | Value |
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Guides
The Angle Converter turns a single angle measurement into its equivalent across 7 units at once, plus the sine, cosine, tangent, cotangent, secant, and cosecant for that angle. Enter one value, choose the unit it is expressed in, and the tool instantly builds both tables.
Angles show up in degrees (everyday geometry and navigation), radians (calculus and physics), gradians (surveying), turns (rotations), and arcminutes/arcseconds (astronomy and optics). Milliradians are used in ballistics and optics for very small angles. This tool converts between all of them and shows the resulting trig values in one step.
How to use it
- Type the amount you want to convert into the Amount box.
- Pick the unit that amount is in from the Unit list.
- Optionally set the Decimal precision (0 to 10 places) for how the results are rounded.
Both tables update automatically. Where a trig function is undefined at that angle (tangent and secant at 90°, cotangent and cosecant at 0°), the table shows "undefined" instead of a huge or nonsensical number.
How many radians are in 180 degrees?
180 degrees equals exactly π radians (about 3.14159). A full circle (360°) is 2π radians.
What is a gradian?
A gradian (also called a "gon") divides a right angle into 100 parts instead of 90, so a full circle is 400 gradians. It's mainly used in surveying and some European engineering contexts because it simplifies decimal calculations.
What is a milliradian used for?
A milliradian (mrad) is 1/1000 of a radian and is the standard angular unit for rifle scopes, artillery, and optics, because at typical ranges 1 mrad subtends almost exactly 1 unit of distance per 1000 units of range — a convenient rule of thumb for aiming.
Why does the trig table say "undefined" for some angles?
Tangent and secant are undefined wherever cosine is zero (90°, 270°, and their equivalents), and cotangent and cosecant are undefined wherever sine is zero (0°, 180°, and their equivalents) — dividing by zero has no defined result, so the tool reports "undefined" rather than an enormous or misleading number.
Privacy
Every conversion runs entirely in your browser. Nothing you enter is sent to a server, logged, or stored.