Degree to Revolution Conversion

Convert between Degree and Revolution quickly and accurately.

°
r

How to Convert Degree to Revolution

Conversion Formula

1 ° = 0.003 r
1 r = 360 °

Example

Convert 15 ° to r:

15 ° = 15 × 0.003 r = 0.042 r

Unit Information

Learn about the angle units you're converting between

Degree

°

Definition

Degree is a unit of measurement for angles, equal to 1/360 of a full rotation. It is the most commonly used unit for measuring angles in everyday applications, mathematics, and engineering.

History/Origin

The degree was first used by ancient Babylonian astronomers around 2000 BCE. They divided a circle into 360 parts, likely because 360 has many divisors and is close to the number of days in a year.

Current Use

Degrees are used in navigation, construction, astronomy, mathematics, engineering, surveying, and many other fields where angle measurement is required.

Multiplier

1

Offset

0

Revolution

r

Definition

Revolution is a unit of angle measurement equal to one complete turn or 360 degrees. It represents a full rotation around a circle.

History/Origin

The revolution as a unit of measurement has been used since ancient times to describe complete rotations or cycles.

Current Use

Revolutions are used in mechanical engineering, physics, rotational motion calculations, and describing periodic motion.

Multiplier

360

Offset

0

Degree to Revolution Conversion Table

Degree [°] Revolution [r]
1 ° 0.002778 r
10 ° 0.027778 r
25 ° 0.069444 r
50 ° 0.138889 r
100 ° 0.277778 r
0 ° 0E+0 r
-10 ° -0.027778 r
-40 ° -0.111111 r