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Degrees to Radians
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Degrees to Radians — quick reference

1 deg = 0.0175 rad
Common Degrees to Radians conversions
deg rad
1 deg 0.0175 rad
15 deg 0.2618 rad
30 deg 0.5236 rad
45 deg 0.7854 rad
60 deg 1.0472 rad
90 deg 1.5708 rad
180 deg 3.1416 rad
270 deg 4.7124 rad
360 deg 6.2832 rad
// about this tool

Degrees to Radians Online

Updated 2026-10-24

Convert degrees to radians online for free. Enter an angle in degrees and SnapTools shows the exact value in radians instantly, in your browser. Nothing is uploaded.

Degrees are how people describe angles, but code doesn't: Math.sin(), cos(), and every trig function in JavaScript, Python, and nearly every other language take radians, and passing a raw degree value gives a silently wrong answer with no error thrown. This converter does the ×(π/180) math for you with full floating-point precision. For the full family of angle units (gradians, arcminutes, turns), use the Angle Converter.

// how to use

  1. 1 Type or paste an angle in degrees into the input.
  2. 2 SnapTools converts it to radians as you type.
  3. 3 Copy the result, or use the slider for a quick scrub across a full 360° turn.

// examples

A right angle
Input
90
Output
1.5708 rad
A half turn
Input
180
Output
3.14159 rad

// common uses

Converting a degree value before calling Math.sin()/cos() in code Preparing angles for trigonometry, physics, or engineering calculations Checking a CSS rotate() or canvas arc() value that expects radians Checking a manual angle conversion

// faq

Who came up with the term "radian"?
Engineer James Thomson, brother of physicist Lord Kelvin, is credited with the word. It first appeared in print in an 1873 exam paper he set at Queen's College, Belfast, and mathematician Thomas Muir arrived at a similar term independently around the same time; the two settled on "radian" together.
Why do programming languages want radians, not degrees?
Functions like Math.sin(), cos(), and atan2() in JavaScript, Python, and most languages expect radians, not degrees, so passing 90 (meaning 90°) instead of 1.5708 gives a wrong result silently.
What's the exact conversion factor?
Degrees to radians is degrees × (π / 180). This tool computes it with full floating-point precision, not a rounded π.
Why is 180° equal to π radians?
A radian is defined by arc length equal to the radius; a half-circle's arc is exactly π times the radius, so 180° (half a full turn) is exactly π radians.
What about converting radians back to degrees?
Use Radians to Degrees, or the full Angle Converter for gradians, arcminutes, and turns.

// works with your data

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Use this via API

Get a free API key → 
curl -X POST https://thesnaptools.com/api/v1/tools/degrees-to-radians \
  -H "Authorization: Bearer YOUR_API_KEY" \
  -H "Content-Type: application/json" \
  -d '{"value":"90"}'