Toolbly

Convert Degrees to Grads

Seamlessly convert values from Degrees (deg) to Grads (grad). Includes the exact formula, a quick reference table, and real-world context.

Conversion Formula

Grads = Degrees × 1.111111

Degrees to Grads Conversion Table

Degrees (deg)Grads (grad)
1 deg1.1111 grad
2 deg2.2222 grad
5 deg5.5556 grad
10 deg11.1111 grad
15 deg16.6667 grad
20 deg22.2222 grad
25 deg27.7778 grad
50 deg55.5556 grad
100 deg111.11 grad
500 deg555.56 grad

About Degrees

The degree is the most common unit for measuring angles. A full circle contains 360 degrees. It is used in geometry, navigation, geography (latitude/longitude), and everyday angle measurements.

Real-World Examples

  • A right angle is exactly 90 degrees
  • The leaning Tower of Pisa leans at about 3.97 degrees from vertical
  • A perfect slam dunk requires a release angle of about 52 degrees

💡 Did you know? The choice of 360 degrees in a circle dates back to ancient Babylon, where a base-60 (sexagesimal) number system was used. 360 was chosen because it has many divisors (1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180).

About Grads

The gradian (also called gon or grade) divides a full circle into 400 units instead of 360. A right angle equals 100 gradians. It is used in some European countries for surveying and civil engineering.

Real-World Examples

  • A right angle equals 100 gradians
  • A full circle equals 400 gradians
  • French and Swiss surveyors traditionally use gradians

💡 Did you know? The gradian was introduced during the French Revolution as part of the metric system. While most metric units succeeded globally, the gradian never replaced the degree in everyday use.

Frequently Asked Questions

Related Unit Converters