About the Angle Converter
Trigonometry in code almost always expects radians while drawings, protractors and CSS transforms are labelled in degrees, and that mismatch causes a surprising number of bugs. Paste the angles you have on separate lines, choose the pair of units, and every line is rewritten with the formula printed underneath so you can drop the same multiplier into a shader or a spreadsheet.
Eleven measures are covered. Degrees, radians and gradians handle everyday geometry, where a right angle is 90 degrees, 1.5707963268 radians or exactly 100 gon. Arcminutes and arcseconds split a degree into sixtieths and thirty six hundredths for surveying and telescope pointing. Turns express the same rotation as a fraction of a full circle, which is how easing curves and rotary encoders often describe it. Milliradians, quadrants, sextants, compass points and the NATO mil round out the list for ballistics and navigation work.
One quirk to watch is the mil. Several definitions exist, and the one here is the NATO variant of 6400 to a circle, so one mil is 0.05625 degrees. Angles are treated as plain numbers, not wrapped into a 0 to 360 range, so 720 degrees stays two full turns rather than collapsing to zero. If your figure is really a rate of rotation rather than a fixed angle, the Frequency Converter handles degrees per second and RPM instead.
How to use
- Type or paste the angles, one value on each line.
- Pick the unit you have under From and the one you want under To.
- Use Rounding if you need a fixed number of decimals.
- Copy the converted list or keep the printed table for reference.
Common questions
- How many radians is 90 degrees?
- Exactly pi/2, which prints as 1.570796327 radians.
- What is a gradian?
- A gradian, also written gon, divides a right angle into 100 parts instead of 90. It is still used in some European surveying practice.
- Does the tool wrap angles above 360 degrees?
- No. A value such as 540 degrees is converted as written, because a rotation total is often more useful than a normalised heading.
- Which mil definition is used?
- The NATO mil, with 6400 mils in a full circle. The Swedish and Soviet variants use 6300 and 6000 and are not offered.