Gradians to Degrees (grad to °)

Convert gradians to degrees instantly. 1 gradian = 0.9 degrees, so multiply by 0.9. Includes worked examples and a full grad to ° table.

How to convert gradians to degrees

1 gradian = 0.9 degrees and 1 degree = 1.111111111 gradians. To convert gradians to degrees, multiply by 0.9:

° = grad × 0.9

Examples

  • 50 grad × 0.9 = 45 °
  • 100 grad × 0.9 = 90 °
  • 400 grad × 0.9 = 360 °

grad to ° conversion table

Gradians (grad)Degrees (°)
1 grad0.9 °
5 grad4.5 °
10 grad9 °
15 grad13.5 °
30 grad27 °
45 grad40.5 °
60 grad54 °
90 grad81 °
120 grad108 °
135 grad121.5 °
150 grad135 °
180 grad162 °
210 grad189 °
225 grad202.5 °
270 grad243 °
300 grad270 °
315 grad283.5 °
360 grad324 °

What is a gradian?

A gradian (gon) is 1/400 of a full turn, so a right angle is 100 grad.

What is a degree?

A degree is 1/360 of a full turn.

Related conversions

Frequently asked questions

How do I convert gradians to degrees?

Multiply the value in gradians by 0.9. 1 gradian = 0.9 degrees.

How many gradians are in one degree?

1 degree = 1.111111111 gradians.

What is 100 grad in °?

100 grad = 90 °.

What is 400 grad in °?

400 grad = 360 °.