degrees to radians converter

1 degree equals 0.01745329 radians. Conversions use rad = ° × 0.017453

° → 0.01745329 rad

rad = ° × 0.017453

Converter

Worked examples

1 ° = 0.01745329 rad
2 ° = 0.03490659 rad
5 ° = 0.08726646 rad
10 ° = 0.17453293 rad
100 ° = 1.745329 rad

degrees to radians conversion table

°	rad	Arithmetic
15 °	0.26179939 rad	× 0.017453
30 °	0.52359878 rad	× 0.017453
45 °	0.78539816 rad	× 0.017453
60 °	1.047198 rad	× 0.017453
90 °	1.570796 rad	× 0.017453
120 °	2.094395 rad	× 0.017453
135 °	2.356194 rad	× 0.017453
150 °	2.617994 rad	× 0.017453
180 °	3.141593 rad	× 0.017453
270 °	4.712389 rad	× 0.017453
360 °	6.283185 rad	× 0.017453
1 °	0.01745329 rad	× 0.017453
2 °	0.03490659 rad	× 0.017453
3 °	0.05235988 rad	× 0.017453
4 °	0.06981317 rad	× 0.017453
5 °	0.08726646 rad	× 0.017453
6 °	0.10471976 rad	× 0.017453
8 °	0.13962634 rad	× 0.017453
10 °	0.17453293 rad	× 0.017453
12 °	0.20943951 rad	× 0.017453
20 °	0.34906585 rad	× 0.017453
25 °	0.43633231 rad	× 0.017453
40 °	0.6981317 rad	× 0.017453
50 °	0.87266463 rad	× 0.017453
70 °	1.22173 rad	× 0.017453
80 °	1.396263 rad	× 0.017453

How to convert ° to rad

Take your value in degrees.
Multiply by 0.017453
That is your answer in radians — no rounding needed until you choose a display precision.

Related conversions

rad to °° to grad ° to turn ° to arcmin ° to arcsec rad to grad rad to turn rad to arcmin rad to arcsec all angle units

Questions

How many radians in 1 degree?

Exactly 0.01745329 rad. The factor follows from the definitions of both units, not from a measurement, so it is exact.

How do I convert ° to rad?

Multiply the degrees figure by 0.017453 — or use the converter above, which updates as you type.

Is ° to rad the same as rad to °?

No — they are inverses. One ° is 0.01745329 rad, while one rad is 57.29578 °.

What is 15 ° in rad?

15 ° = 0.26179939 rad (see the value page for the full arithmetic).