Angle

Angle Converter

Stay inside the angle converter category while switching units instantly with the lightweight live converter.

Live calculation
Degree Radian
Quick values
Instant result
0.01745329
1 ° = 0.01745329 rad
1 ° = 0.0174532925 rad
Angle Converter SEO Guide

Angle Quick Conversion Guide

Fast overview

Need degree in radian fast? This page keeps the live result, the method, and the most useful reference details in one place.

People usually convert degree to radian when they are comparing measurement systems, reading labels, or double-checking values before using them elsewhere.

Category Angle
Method Standard conversion factors
Updated June 14, 2026
30 ° = 0.52359878 rad 90 ° = 1.57079633 rad 180 ° = 3.14159265 rad

Angle Formula

Reference method
1 ° = 0.0174532925 rad

To convert degree to radian manually, multiply the number of source units by 0.0174532925. That same conversion factor works for both small and large values, so once you know the rate, you can scale it for any input.

Angle Conversion Explanation

Manual check
  1. Write down the value in °.
  2. Multiply that value by 0.0174532925.
  3. The result is your answer in rad.

Angle Usage Examples

Practical references

Common reference points are 30 ° = 0.52359878 rad, 90 ° = 1.57079633 rad and 180 ° = 3.14159265 rad.

30 ° = 0.52359878 rad 90 ° = 1.57079633 rad 180 ° = 3.14159265 rad

Angle Quick Conversion Table

Reference chart
° rad
1 0.01745329
2 0.03490659
5 0.08726646
10 0.17453293
25 0.43633231
50 0.87266463
100 1.74532925
250 4.36332313
500 8.72664626
1000 17.45329252

Measurement notes and accuracy

Reference notes
Calculation basis

Calculation Method Verified — based on standard international conversion factors and exact formulas where applicable.

Accuracy note

This degree to radian converter uses standard international conversion factors. Results are accurate for normal reference use, although displayed decimals may be rounded for readability.

Last reviewed

June 14, 2026

Reference standard

Internationally recognized conversion constants and exact formulas are used where applicable.

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