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Degrees to gradians

1 degree in gradians
1 ° = 1.111111 grad
grad = ° × 10/9

To convert degrees to gradians, multiply by 1.111111111. The table below gives the values people look up most often, and the converter works for any number.

Degrees to gradians table

Common degree values converted to gradians.
Degrees Gradians
1 ° 1.111111
2 ° 2.222222
3 ° 3.333333
4 ° 4.444444
5 ° 5.555556
10 ° 11.11111
15 ° 16.66667
20 ° 22.22222
25 ° 27.77778
30 ° 33.33333
40 ° 44.44444
50 ° 55.55556
75 ° 83.33333
100 ° 111.1111
250 ° 277.7778
500 ° 555.5556
1,000 ° 1,111.1111

How the conversion works

The relationship is grad = ° × 10/9. Both units measure angle, so the conversion is a fixed factor that never changes.

Common questions

How many gradians are in one degree?
One degree equals 1.111111 gradians. grad = ° × 10/9.
How do you convert degrees to gradians?
Use grad = ° × 10/9. So 10 ° is 11.11111 grad.
How many degrees are in one gradian?
One gradian equals 0.9 degrees, 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