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Degrees to Radians

1 degree = 0.017453 radians · 1 rad = 57.296 °

1 degree = 0.017453 radians

How it’s calculated

rad = ° × 0.01745329252

  • Multiply the value in degrees by 0.01745329252.
  • To go back, divide by 0.01745329252 (or multiply by 57.29577951).
  • 1 ° = 0.01745329252 rad · 1 rad = 57.29577951 °
Show worked solutionFactor, unit cancellation and rounding, step by step

  1. Find the conversion factor

    By definition 1 rad = 57.2957795130823 °. Source: NIST SP 811 / Handbook 44; BIPM SI Brochure (9th ed.) (SI prefixes and accepted units).

  2. Multiply by the factor written as a fraction

    Put ° in the denominator so it cancels, leaving rad.

  3. Calculate (unrounded)

  4. Round the answer

    Rounded to 5 significant figures.

Answer: 0.017453 rad

1 ° in other units

Batch convert ° → rad
Results
  1. 1 ° = 0.017453 rad
  2. 5 ° = 0.087266 rad
  3. 10 ° = 0.17453 rad
  4. 25 ° = 0.43633 rad

Permanent link to this conversion

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Quick examples

  • 1 degree = 0.017453 radians
  • 5 degrees = 0.087266 radians
  • 10 degrees = 0.17453 radians
  • 25 degrees = 0.43633 radians
  • 100 degrees = 1.7453 radians

About these units

Degree (°)

other

1 ° = 0.01745329252 rad

Source: NIST SP 811 / Handbook 44

Radian (rad)

SI (metric)

Base unit

Source: BIPM SI Brochure (9th ed.) (SI prefixes and accepted units)

Degrees to radians conversion table

degree (°) to radian (rad)
Degrees (°)Radians (rad)
0.1 °0.0017453 rad
0.5 °0.0087266 rad
1 °0.017453 rad
2 °0.034907 rad
3 °0.05236 rad
4 °0.069813 rad
5 °0.087266 rad
6 °0.10472 rad
7 °0.12217 rad
8 °0.13963 rad
9 °0.15708 rad
10 °0.17453 rad
15 °0.2618 rad
20 °0.34907 rad
25 °0.43633 rad
30 °0.5236 rad
40 °0.69813 rad
50 °0.87266 rad
75 °1.309 rad
100 °1.7453 rad
250 °4.3633 rad
500 °8.7266 rad
1,000 °17.453 rad

Related conversions

Frequently asked questions

How do I convert degrees to radians?

Use rad = ° × 0.01745329252. Multiply the value in degrees by 0.01745329252.

How many radians are in 1 degree?

1 degree (°) equals 0.017453 radians (rad); more precisely 0.01745329252.

How many degrees are in 1 radian?

1 radian (rad) equals 57.296 degrees (°); more precisely 57.29577951.

What is 10 ° in rad?

10 degrees = 0.17453 radians.

Formula: rad = ° × 0.01745329252. Factors last reviewed 2026-10-27.