At One Place

Gradians to radians

1 gradian in radians
1 grad = 0.015708 rad
rad = grad × 0.01570796327

To convert gradians to radians, multiply by 0.01570796327. The table below gives the values people look up most often, and the converter works for any number.

Gradians to radians table

Common gradian values converted to radians.
Gradians Radians
1 grad 0.015708
2 grad 0.031416
3 grad 0.047124
4 grad 0.062832
5 grad 0.07854
10 grad 0.15708
15 grad 0.23562
20 grad 0.31416
25 grad 0.3927
30 grad 0.47124
40 grad 0.62832
50 grad 0.7854
75 grad 1.178097
100 grad 1.570796
250 grad 3.926991
500 grad 7.853982
1,000 grad 15.70796

How the conversion works

The relationship is rad = grad × 0.01570796327. Both units measure angle, so the conversion is a fixed factor that never changes.

Common questions

How many radians are in one gradian?
One gradian equals 0.015708 radians. rad = grad × 0.01570796327.
How do you convert gradians to radians?
Use rad = grad × 0.01570796327. So 10 grad is 0.15708 rad.
How many gradians are in one radian?
One radian equals 63.66198 gradians, which is the reverse of the conversion above.

Related pages

Sources

  1. Guide for the Use of the International System of Units (SP 811) — NIST (Public domain (US Government))
  2. The International System of Units (SI Brochure) — Bureau International des Poids et Mesures
  3. Calculated on this page — At One Place

How these figures are compiled and checked