Revolutions to degrees

Multiply revolutions by 360 to get degrees.

1 rev = 360 °BIPM SI

Convert

rev

720°

2 rev = 720 °

How to convert revolutions to degrees

The degree is one 360th of a full turn — the everyday unit of angle. The revolution is one full turn — 360 degrees or 2π radians.

Worked example — 2 rev: 2 × 360 = 720 °.

Revolutions to degrees table

Common conversions.
Revolutions	Degrees
0.25 rev	90 °
0.5 rev	180 °
0.75 rev	270 °
1 rev	360 °
2 rev	720 °
3 rev	1,080 °
5 rev	1,800 °
10 rev	3,600 °
100 rev	36,000 °

Reverse and related

° → rad1 ° = 0.0174533 rad rad → °1 rad = 57.2958 °° → gon1 ° = 1.1111 gon gon → °1 gon = 0.9 °rad → gon1 rad = 63.662 gon

About revolutions and degrees

Revolution (rev)

1 rev = 360 °

Definition. One full turn — 360 degrees or 2π radians

History and origin

The revolution is simply one full turn, the most intuitive unit of angle, equal to 360 degrees or 2π radians. It matches the way rotating machines are described.

Current use

Revolutions describe rotation and gearing, and rotational speed is often given in revolutions per minute.

Source: BIPM SI Brochure (2019); ISO 80000-3 (angle)

Degree (°)

1 ° = 0.00277778 rev

Definition. One 360th of a full turn — the everyday unit of angle

History and origin

The degree, one 360th of a full turn, goes back to ancient Babylonian astronomers, whose base-60 counting made 360 a natural division of the circle. It has been the everyday angle measure ever since.

Current use

Degrees are used in geometry, navigation and construction, wherever angles are set out or read off.

Source: BIPM SI Brochure (2019); ISO 80000-3 (angle)

Where people use this

Revolutions: rotation, gearing. Degrees: geometry, navigation, construction angles. 1 revolution is exactly 360°.

How we know this is right

The factor is fixed by the standards that define the units, not chosen — so it is exact, not a measurement:

1 ° = 0.002777777778 rev, so 1 rev = 1 ÷ 0.002777777778 = 360 °.

Every value is carried to full double precision; the display is rounded.

Both units are defined in BIPM SI Brochure (2019); ISO 80000-3 (angle).

Questions people ask

How many degrees in a revolution?

One full revolution is exactly 360°.

How many degrees is half a turn?

Half a revolution is 180°.

How many degrees is a quarter turn?

A quarter revolution is 90°.