Degree to Radian Converter

One Degree equals 0.01745329252 Radian (1 deg = 0.01745329252 rad). Multiply a Degree value by 0.01745329252 to get the equivalent in Radian. Use the calculator above for instant results, or follow the formula, worked examples, and reference table below.

Formula

rad = deg × 0.01745329252

Multiply the Degree value by 0.01745329252 to get the equivalent value in Radian.

Example Conversions

1 Degree (deg)

0.01745329252 Radian (rad)

5 Degree (deg)

0.0872664626 Radian (rad)

10 Degree (deg)

0.1745329252 Radian (rad)

25 Degree (deg)

0.436332313 Radian (rad)

100 Degree (deg)

1.745329252 Radian (rad)

Conversion Table

Common conversion values from Degree to Radian
Degree (deg) Radian (rad)
0.1 0.001745329252
0.5 0.00872664626
1 0.01745329252
2 0.03490658504
5 0.0872664626
10 0.1745329252
25 0.436332313
50 0.872664626
100 1.745329252
250 4.36332313
500 8.72664626
1000 17.45329252

How to Convert Manually

Use these steps to convert Degree values to Radian without the calculator.

  1. Write down the value in Degree (deg) that you want to convert.
  2. Multiply that value by 0.01745329252.
  3. For example, 10 Degree × 0.01745329252 = 0.1745329252 Radian.
  4. Label the result as Radian (rad).

Relative Size Comparison

1 Degree
1 Radian57.29577951Degrees
1rad

This chart shows the visual difference in size between exactly one Degree and one Radian.

About Degree and Radian

The degree is 1/360 of a full turn — a division inherited from Babylonian astronomy. Navigation, geometry, and everyday angle measurement default to degrees. The radian is the SI unit of angle: the angle whose arc length equals its radius, with 2π radians in a full turn. Calculus, physics, and programming math libraries work in radians. One Degree equals 0.01745329252 Radian (1 deg = 0.01745329252 rad). Degree to Radian conversion comes up most often in navigation headings and in geometry and CAD drawings, typically when figures need restating for physics and engineering formulas.

Precision and Rounding: Angle conversions are exact ratios of a full turn, but radian values involve π and never terminate in decimal form. Navigation and construction round to whole degrees or minutes; surveying, astronomy, and robotics carry six or more significant figures.

Conversion factors per NIST Special Publication 811 and the BIPM SI Brochure (9th edition) (reference).

Worked Example

15 Degree equals 0.2617993878 Radian.

15 deg × 0.01745329252 = 0.2617993878 rad

FAQ

How do I convert Degree to Radian?

Multiply the Degree value by 0.01745329252 to get the equivalent value in Radian.

What is the formula for Degree to Radian?

The formula is rad = deg × 0.01745329252.

How many Radian are in 1 Degree?

1 Degree equals 0.01745329252 Radian.

Can I convert Radian back to Degree?

Yes. 1 Radian equals 57.29577951 Degree, and the related converter can reverse the calculation.

What are common names for Degree and Radian?

Degree is shown as deg and may also be searched as degree, degrees, °. Radian is shown as rad and may also be searched as radian, radians.

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