Convert Degree to Turn

Quick answer: Degree to Turn

1 Degree = 0.002777778Turn (° → turn). To convert degree to turn, multiply by 0.002777778. To convert turn to degree, multiply by 360. The converter at the top does this instantly and both ways; the sections below give the formula, worked examples, a full conversion chart and answers to the most common degree-to-turn questions.

How to convert Degree to Turn

To convert degree to turn, multiply the number of degree by the conversion factor 0.002777778, because 1 ° = 0.002777778turn. The conversion is linear, so the same factor works for any value — whole numbers, decimals or fractions. For the reverse direction, 1 turn = 360°, so you divide by 0.002777778 (or multiply by 360) to turn turn back into degree.

turn = ° × 0.002777778  ·  ° = turn × 360

1. Write down the value you want to convert, in degree.
2. Multiply it by 0.002777778.
3. The result is the same area/length/quantity expressed in turn.

Degree to Turn — worked examples

Each row shows the exact arithmetic so you can follow the conversion step by step. For example, 5degree is 0.01388889turn because 5 ° × 0.002777778 = 0.01388889 turn.

Common Degree to Turn conversions

These are the degree-to-turn values people look up most often. Every figure is computed from the exact factor, so you can rely on them for quick reference:

• 1 degree = 0.002777778 turn
• 2 degree = 0.005555556 turn
• 2.5 degree = 0.006944444 turn
• 3 degree = 0.008333333 turn
• 4 degree = 0.01111111 turn
• 5 degree = 0.01388889 turn
• 6 degree = 0.01666667 turn
• 7 degree = 0.01944444 turn
• 8 degree = 0.02222222 turn
• 9 degree = 0.025 turn
• 10 degree = 0.02777778 turn
• 12 degree = 0.03333333 turn
• 15 degree = 0.04166667 turn
• 20 degree = 0.05555556 turn
• 25 degree = 0.06944444 turn
• 30 degree = 0.08333333 turn
• 50 degree = 0.1388889 turn
• 75 degree = 0.2083333 turn
• 100 degree = 0.2777778 turn
• 200 degree = 0.5555556 turn
• 500 degree = 1.388889 turn
• 1000 degree = 2.777778 turn

Degree to Turn conversion chart (both directions)

The chart below converts degree to turn and turn to degree side by side, so it works whichever way you need. 1 degree = 0.002777778turn, and 1 turn = 360degree.

Degree vs Turn: which is bigger?

A turn is the larger unit: one turn equals 360 degrees. Put another way, you need 360 degrees to make a single turn.

What is a Degree? History, origin and usage

Dividing a circle into 360 degrees traces back to Babylonian astronomy and its base-60 (sexagesimal) number system, reinforced by the roughly 360-day ancient year in which the Sun seemed to advance about one degree each day. The number 360 was also prized for being divisible by so many factors.

The degree is the everyday angle unit for navigation, geography (latitude and longitude), construction, geometry teaching and most practical measurement. Its symbol is the small raised circle (°), and it subdivides into arcminutes and arcseconds.

360 is unusually divisible — it splits evenly by every whole number from 1 to 10 except 7 — which made it convenient long before modern arithmetic. A full circle is 360°, a right angle is 90°, and a single degree divides into 60 arcminutes.

What is a Turn? History, origin and usage

The turn — also called a revolution, cycle or full circle — is simply one complete rotation, equal to 360 degrees or 2π radians. It is the most intuitive angle “unit,” and the German standard DIN 1315 even proposed a symbol for it; the astronomer Fred Hoyle promoted decimal subdivisions (centiturns, milliturns) in 1962.

The turn is the natural unit for rotational frequency — revolutions per minute (rpm) for engines, motors and disk drives — and for counting coil windings and complete cycles. It underlies how rotation is commonly counted in everyday machinery.

Because one turn equals 2π radians, some mathematicians advocate writing 2π as the single Greek letter τ (tau) so a fraction of a turn reads directly as that fraction of τ. An engine redline of, say, 7,000 rpm means 7,000 complete turns of the crankshaft every minute.

Convert 1 Degree to other units

It can help to see a degree next to the other units it is commonly compared with. One degree (°) is equal to:

Convert 1 Turn to other units

One turn (turn) is equal to:

Tips for converting Degree to Turn

• To go from degree to turn, multiply by 0.002777778; to go back, divide by 0.002777778 (or multiply by 360).
• For a quick mental estimate, remember that 1 degree ≈ 0.002777778 turn, so 10 degree ≈ 0.02777778 turn.
• The converter above keeps full precision; the tables round for readability, so use the tool for exact figures.
• Both fields update live as you type — change either side to convert in that direction.

How to use this Degree to Turn converter

Type a number into the Degree field and the equivalent in Turn appears instantly — there is no “convert” button to press and nothing is sent to a server, so it works offline once the page has loaded and is safe for any data. You can also type into the Turn field to convert the other way (turn to degree). Use the swap control to flip the two units, and copy the result with a single click. Because the calculation runs in your browser with full floating-point precision, the converter is more exact than the rounded figures shown in the reference chart above — use the chart for quick look-ups and the tool for precise work.

Accuracy and method

Every figure on this page — the formula, the worked examples, the conversion chart and the “convert to other units” tables — is computed from a single verified conversion factor (1 ° = 0.002777778turn), never copied from a hand-typed lookup table that could drift. That factor is derived from each unit’s definition in terms of a common base unit, and an automated check re-verifies all of the site’s factors on every update, so the numbers here stay correct over time. This matters for degree-to-turn conversions because a small rounding error in a published table compounds quickly at larger quantities; computing from the exact factor avoids that.

Angle factors are exact, anchored to the radian: a full turn = 2π rad = 360° = 400 gon, 1° = 60 arcminutes, 1 arcminute = 60 arcseconds. So the live tool and every number on this page always agree.

Frequently asked questions

How many turn are in 1 degree?

1 degree = 0.002777778 turn (turn). To convert any number of degree to turn, multiply by 0.002777778.

How do I convert degree to turn?

Multiply the number of degree by 0.002777778. For example, 10 degree = 10 × 0.002777778 = 0.02777778 turn, and 25 degree = 0.06944444 turn.

How many degree are in 1 turn?

1 turn = 360 degree. So to convert turn back to degree, multiply by 360.

What is the formula to convert degree to turn?

turn = degree × 0.002777778. The reverse formula is degree = turn × 360.

How much is 100 degree in turn?

100 degree = 0.2777778 turn. (And 1000 degree = 2.777778 turn.)

Which is bigger, a degree or a turn?

A turn is larger: 1 turn = 360 degree.

Is this degree to turn converter accurate?

Yes — every value is computed from the exact 0.002777778 turn per ° factor (not rounded look-up tables), and the factors are re-verified automatically on every update.

Can I convert turn to degree too?

Yes. The converter works both ways — enter a value in either field. 1 turn = 360 degree.

Related rotation conversions

• Turn to Degree
• Radian to Degree
• Degree to Radian
• Degree to Gradian
• Gradian to Degree
• Radian to Turn
• Turn to Radian
• Degree to Arcminute
• Arcminute to Degree
• Degree to Arcsecond

See all rotation conversions →