Convert degree to revolution

Please provide values below to convert degree [°] to revolution [r], or Convert revolution to degree.

1 ° = 0.00277777777778 r. To convert degree to revolution, multiply the value by 0.00277777777778; to go the other way, divide by it (1 r = 360 °). Both units measure angle and appear in everyday as well as technical calculations, so switching between them quickly is often useful.

Quick Reference

  • 1 ° = 0.00277777777778 r
  • 1 r = 360 °
  • 10 ° = 0.0277777777778 r
  • 100 ° = 0.277777777778 r



How to Convert Degree to Revolution

1 ° = 0.00277777777777778 r

Example: convert 15 ° to r:
15 ° = 15 × 0.00277777777777778 r = 0.0416666666666667 r


Degree to Revolution Conversion Table

degree revolution
1 ° 0.00277777777778 r
2 ° 0.00555555555556 r
3 ° 0.00833333333333 r
5 ° 0.0138888888889 r
10 ° 0.0277777777778 r
20 ° 0.0555555555556 r
50 ° 0.138888888889 r
100 ° 0.277777777778 r
500 ° 1.38888888889 r
1000 ° 2.77777777778 r

Degree

A degree (symbol: °) is a unit of measurement for angles, representing 1/360th of a full circle.

History/Origin

The degree originated in ancient Babylonian astronomy, where the circle was divided into 360 parts, possibly due to the approximate number of days in a year. It has been used since antiquity for measuring angles and geographic coordinates.

Current Use

Degrees are widely used in geometry, navigation, engineering, and various sciences to measure angles, with applications in compass readings, trigonometry, and geographic positioning.


Revolution

A revolution is a complete turn or rotation around a central point, typically measuring 360 degrees in angular terms.

History/Origin

The concept of a revolution as a full rotation has origins in ancient geometry and astronomy, with the term 'revolution' historically used to describe celestial orbits and rotations in various cultures.

Current Use

In modern contexts, the unit 'revolution' (symbol: r) is used to quantify angular displacement, especially in mechanical and engineering applications, where one revolution equals 360 degrees or 2π radians.


Frequently Asked Questions

What is 1 degree in revolution?

1 degree (°) = 0.00277777777778 revolution (r).

How do you convert degree to revolution?

Multiply the degree value by 0.00277777777778. For example, 25 ° × 0.00277777777778 = 0.0694444444444 r.

What is 10 degree in revolution?

10 ° = 0.0277777777778 r.

Which unit is larger, the degree or the revolution?

The revolution is the larger unit: 1 ° equals only 0.00277777777778 r.