degrees to radians — ° to rad Converter

Free online degrees to radians converter (° to rad). Instant conversion, formula, table, real-world examples and FAQs.

Enter value in degrees

° to rad

Conversion Formula

Multiply the degrees value by the conversion factor:
rad = ° × 0.0175

How to Convert Step by Step

Enter the number of degrees you want to convert (e.g. 10 °).
Multiply it by the factor 0.0175.
Round the result to 2–4 decimals for practical use — done, that is your value in radians.

Common degrees to rad Conversion Table

degrees (°)	radians (rad)
1 °	0.0175 rad
2 °	0.0349 rad
5 °	0.0873 rad
10 °	0.1745 rad
20 °	0.3491 rad
50 °	0.8727 rad
100 °	1.7453 rad
200 °	3.4907 rad
500 °	8.7266 rad
1000 °	17.4533 rad

Real-World Examples

Degrees are used for temperature, angles, and bearings. Example: 10 ° ≈ 0.1745 rad.
Radians are used in trigonometry, physics, and engineering. Example: 20 rad ≈ 1145.92 °.
Degrees are used for temperature, angles, and bearings. Another common case: 50 ° = 0.8727 rad.

About degrees & radians

• degrees: Degrees are the everyday angle unit: 360° in a circle, 90° in a right angle — from Babylonian base-60 math.
• radians: The radian is the SI angle unit: 2π rad = 360°. One radian subtends an arc equal to the radius.

FAQ

How many radians in 1 °?

1 ° = 0.0175 rad. Use the converter above to compute any value, or multiply ° by 0.0175.

Is this degrees-to-radians converter accurate?

Yes — conversions use the standard international factors and are rounded to 4 decimals.

When is degrees to radians conversion used?

Degrees are used for temperature, angles, and bearings. Radians are used in trigonometry, physics, and engineering. Whenever a value is given in ° but you need rad, this converter is the quick fix.

Related Conversions

radians→degrees