Degree to Radian Converter

Angle Converter

14 units available

Decimals:

From

To

0.017453

1 ° = 0.017453 rad

Formula:

rad = ° × 0.0174532925

With your value: 1 ° = 0.01745329 rad

Other Degree to Radian conversions

2 ° to rad 3 ° to rad 4 ° to rad 5 ° to rad 6 ° to rad 7 ° to rad 8 ° to rad

Degree to Radian Conversion Table

Degree (°)	Radian (rad)
0.5	0.008727
1	0.017453
2	0.034907
5	0.087266
10	0.174533
15	0.261799
20	0.349066
25	0.436332
50	0.872665
100	1.745329
250	4.363323
500	8.726646
1000	17.453293

Radian to Degree Conversion Table

Radian (rad)	Degree (°)
0.5	28.64789
1	57.29578
2	114.591559
5	286.478898
10	572.957795
15	859.436693
20	1,145.91559
25	1,432.394488
50	2,864.788976
100	5,729.577951
250	14,323.944878
500	28,647.889757
1000	57,295.779513

Where these values come from

Every factor on this page is traced to the document that defines it. See the full provenance dataset or our methodology.

Degree (°)

Angle

Exact conversion

1° = π/180 rad exactly; accepted for use with the SI.

Source: Units accepted for use with the SI, SI Brochure Table 8

Bureau International des Poids et Mesures · Reviewed 2026-07-01

Radian (rad)

Angle

Exact conversion

The radian is the coherent SI unit of plane angle; the degree is exactly π/180 rad and is accepted for use with the SI.

Source: Units accepted for use with the SI, SI Brochure Table 8

Bureau International des Poids et Mesures · Reviewed 2026-07-01

How to Convert Degree to Radian

To convert from Degree (°) to Radian (rad), multiply the value by 0.0174532925.

Formula: rad = ° × 0.0174532925

Reverse: ° = rad × 57.2957795131

Step-by-Step Example

Start with your value in Degree. For example: 5 °
Multiply by the conversion factor: 5 x 0.0174532925
The result is: 0.087266 rad

About Degree

The degree is a measurement of angle equal to 1/360 of a full rotation. It is the most commonly used unit of angular measurement.

Common uses: navigation, geometry, construction.

About Radian

The radian is the SI unit of angular measurement. One radian equals approximately 57.296 degrees.

Fun Fact: A full circle contains exactly 2π radians.

Common uses: mathematics, physics, engineering.

Frequently Asked Questions

How many Radian are in 1 Degree?

There are exactly 0.0174532925 Radian in 1 Degree. This means the conversion factor from Degree to Radian is 0.0174532925.

What is the formula to convert Degree to Radian?

The formula to convert Degree to Radian is: rad = ° × 0.0174532925. For example, to convert 10 Degree to Radian, you would multiply 10 by 0.0174532925.

What is a Degree?