Gradian (grad) to Degree (°) converter

Converting from Gradian (grad) to Degree (°) | Angle

What is Gradian (grad)

Gradian, denoted as grad, is a unit of angle measurement in the metric system. It divides the right angle into 100 equal parts, making a full circle equivalent to 400 gradians.

What is Degree (°)

Degree, represented as °, is the standard unit of angle measurement commonly used in everyday life and mathematics. A circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds.

Conversion Formulas

To convert from Gradian (grad) to Degree (°) and vice versa, you can use the following formulas:

  • To convert from grad to °:
    degrees=gradians×0.9
  • To convert from ° to grad:
    gradians=degrees×1.111111

Examples

  • 13 grad = 11.7°
  • 13° = 14.44444 grad
  • 9 grad = 8.1°
  • 9° = 10 grad
  • 7 grad = 6.3°
  • 7° = 7.777778 grad

By using these conversion formulas, you can easily switch between Gradians (grad) and Degrees (°) in angle measurements. It's essential to understand these conversions, especially when working with different angle systems or solving trigonometric problems.

Remember, 1 grad is equivalent to 0.9°, and 1° is equal to 1.111111 grad. Practicing these conversions will help you become proficient in converting angles from gradians to degrees and vice versa without any hassle.

Gradian to Degree conversion table

grad to ° conversion table

Gradian (grad)Degree (°)
0.01 grad0.009 °
0.1 grad0.09 °
1 grad0.9 °
2 grad1.8 °
3 grad2.7 °
4 grad3.6 °
5 grad4.5 °
6 grad5.4 °
7 grad6.3 °
8 grad7.2 °
9 grad8.1 °
10 grad9 °
10 grad9 °
20 grad18 °
30 grad27 °
40 grad36 °
50 grad45 °
60 grad54 °
70 grad63 °
80 grad72 °
90 grad81 °
100 grad90 °
1 000 grad900 °
2 000 grad1 800 °
3 000 grad2 700 °
4 000 grad3 600 °
5 000 grad4 500 °
6 000 grad5 400 °
7 000 grad6 300 °
8 000 grad7 200 °
9 000 grad8 100 °
10 000 grad9 000 °