gradians to radians converter

1 gradian equals 0.01570796 radians. Conversions use rad = grad × 0.015708

grad → 0.01570796 rad

rad = grad × 0.015708

Converter

Worked examples

1 grad = 0.01570796 rad
2 grad = 0.03141593 rad
5 grad = 0.07853982 rad
10 grad = 0.15707963 rad
100 grad = 1.570796 rad

gradians to radians conversion table

grad	rad	Arithmetic
1 grad	0.01570796 rad	× 0.015708
2 grad	0.03141593 rad	× 0.015708
3 grad	0.04712389 rad	× 0.015708
4 grad	0.06283185 rad	× 0.015708
5 grad	0.07853982 rad	× 0.015708
6 grad	0.09424778 rad	× 0.015708
8 grad	0.12566371 rad	× 0.015708
10 grad	0.15707963 rad	× 0.015708
12 grad	0.18849556 rad	× 0.015708
15 grad	0.23561945 rad	× 0.015708
20 grad	0.31415927 rad	× 0.015708
25 grad	0.39269908 rad	× 0.015708
30 grad	0.4712389 rad	× 0.015708
40 grad	0.62831853 rad	× 0.015708
50 grad	0.78539816 rad	× 0.015708
60 grad	0.9424778 rad	× 0.015708
70 grad	1.099557 rad	× 0.015708
80 grad	1.256637 rad	× 0.015708
90 grad	1.413717 rad	× 0.015708
100 grad	1.570796 rad	× 0.015708

How to convert grad to rad

Take your value in gradians.
Multiply by 0.015708
That is your answer in radians — no rounding needed until you choose a display precision.

Related conversions

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

Questions

How many radians in 1 gradian?

Exactly 0.01570796 rad. The factor follows from the definitions of both units, not from a measurement, so it is exact.

How do I convert grad to rad?

Multiply the gradians figure by 0.015708 — or use the converter above, which updates as you type.

Is grad to rad the same as rad to grad?

No — they are inverses. One grad is 0.01570796 rad, while one rad is 63.661977 grad.

What is 1 grad in rad?

1 grad = 0.01570796 rad (see the value page for the full arithmetic).