What Degrees to Radians helps you do

Convert angles between degrees and radians. Radians are the natural unit for trigonometry and most programming math libraries, while degrees are easier to read, so this bridges the two. The page works in both directions and shows the value in the unit you did not enter.

The conversion runs in your browser and no angle is sent to Haivix.

How it works

These converters apply a fixed factor or formula to the value you enter, inside the page. They do not fetch live rates, measurement standards or device data, so the result depends only on the number and the units you choose. Values are formatted to a handful of decimals, with scientific notation for very small or very large results. Where a formula needs a second input, such as voltage, hours or a power factor, the page asks for it rather than assuming a value. The factor itself comes from the unit definition, so it is the same today as it will be next year; only the input changes.

How to use Degrees to Radians

Enter an angle in degrees or radians.
Read the equivalent in the other unit.
Check a known angle such as 180 degrees against pi.
Copy the value for use in code, geometry or graphics work.

When to use it

Convert a 45 degree rotation into radians for a canvas or game transform.
Translate an angle from a math library in radians into degrees for display.
Check trigonometric inputs that expect radians, not degrees.
Convert a servo or robotics angle for a control library.
Read an astronomy or surveying angle in the unit your formula needs.
Convert a camera field of view for a shader or renderer.

When not to use it

Do not use degrees in a library that expects radians, or the result will be off by a factor of about 57.
Do not expect symbolic results such as pi over two; the output is numeric.
Do not assume the angle is normalized to a single turn.

Example

180 degrees is pi radians, about 3.14159. 90 degrees is pi/2, about 1.5708. 45 degrees is about 0.785398 radians. 360 degrees is about 6.28319 radians. One degree is about 0.0174533 radians, so radians are much smaller numbers for the same angle.

What you can do with Degrees to Radians

Convert degrees to radians and back.
Show the result with up to six decimals.
Handle fractional angles.
Keep the entered angle visible.
Copy the converted value.
Run the conversion locally with no upload.

Example: check the unit before trusting the number

Confirm the source unit and the target unit before reading the result. A correct number in the wrong unit is the most common conversion mistake, especially between US and imperial measures.

Sanity-check the magnitude with a rough mental estimate. If kilometres should be larger than miles and the result is smaller, the direction is reversed.

Round the result for the destination. A calculator can show six decimals, but an invoice, label or form usually needs two or three, and the rounding rule may be specified.

Keep the original value and unit in your notes. If the destination rejects the result, the source is the only way to recompute without guessing what was entered.

Check whether the unit has regional variants. Gallons, pints, tons and acres all have more than one definition, and picking the wrong one can shift the result by several percent without any arithmetic error.

If the answer will drive a purchase, a dose or a safety decision, verify it against a second source or the manufacturer's own table. A calculator removes arithmetic mistakes, not definition mistakes.

What to know before you start

The result is shown to a limited precision, which is enough for everyday work but not symbolic math.
Does not reduce angles into the 0 to 360 range automatically.
It uses the numeric value of pi and does not display fractions of pi.
The displayed result is rounded to a limited number of decimals.

Common mistakes

Passing degrees to a function that expects radians.
Multiplying by 180/pi instead of pi/180.
Forgetting that many languages use radians by default.
Assuming a rotation is normalized to 0 to 360 degrees.

Troubleshooting

If a rotation is far too large, the value was probably passed in degrees.

If the result is about 57 times off, the conversion direction is reversed.

If the output looks rounded, check the displayed decimals.

If a formula expects a normalized angle, reduce it modulo a full turn yourself.

Degrees to Radians