Convert Turn to Degree

Quick answer: Turn to Degree

1 Turn = 360Degree (turn → °). To convert turn to degree, multiply by 360. To convert degree to turn, multiply by 0.002777778. 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 turn-to-degree questions.

How to convert Turn to Degree

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

° = turn × 360  ·  turn = ° × 0.002777778

1. Write down the value you want to convert, in turn.
2. Multiply it by 360.
3. The result is the same area/length/quantity expressed in degree.

Turn to Degree — worked examples

Each row shows the exact arithmetic so you can follow the conversion step by step. For example, 5turn is 1,800degree because 5 turn × 360 = 1,800 °.

Common Turn to Degree conversions

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

• 1 turn = 360 degree
• 2 turn = 720 degree
• 2.5 turn = 900 degree
• 3 turn = 1,080 degree
• 4 turn = 1,440 degree
• 5 turn = 1,800 degree
• 6 turn = 2,160 degree
• 7 turn = 2,520 degree
• 8 turn = 2,880 degree
• 9 turn = 3,240 degree
• 10 turn = 3,600 degree
• 12 turn = 4,320 degree
• 15 turn = 5,400 degree
• 20 turn = 7,200 degree
• 25 turn = 9,000 degree
• 30 turn = 10,800 degree
• 50 turn = 18,000 degree
• 75 turn = 27,000 degree
• 100 turn = 36,000 degree
• 200 turn = 72,000 degree
• 500 turn = 180,000 degree
• 1000 turn = 360,000 degree

Turn to Degree conversion chart (both directions)

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

Turn vs Degree: 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 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.

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.

Convert 1 Turn to other units

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

Convert 1 Degree to other units

One degree (°) is equal to:

Tips for converting Turn to Degree

• To go from turn to degree, multiply by 360; to go back, divide by 360 (or multiply by 0.002777778).
• For a quick mental estimate, remember that 1 turn ≈ 360 degree, so 10 turn ≈ 3,600 degree.
• 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 Turn to Degree converter

Type a number into the Turn field and the equivalent in Degree 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 Degree field to convert the other way (degree to turn). 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 turn = 360°), 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 turn-to-degree 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 degree are in 1 turn?

1 turn = 360 degree (°). To convert any number of turn to degree, multiply by 360.

How do I convert turn to degree?

Multiply the number of turn by 360. For example, 10 turn = 10 × 360 = 3,600 degree, and 25 turn = 9,000 degree.

How many turn are in 1 degree?

1 degree = 0.002777778 turn. So to convert degree back to turn, multiply by 0.002777778.

What is the formula to convert turn to degree?

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

How much is 100 turn in degree?

100 turn = 36,000 degree. (And 1000 turn = 360,000 degree.)

Which is bigger, a turn or a degree?

A turn is larger: 1 turn = 360 degree.

Is this turn to degree converter accurate?

Yes — every value is computed from the exact 360 ° per turn factor (not rounded look-up tables), and the factors are re-verified automatically on every update.

Can I convert degree to turn too?

Yes. The converter works both ways — enter a value in either field. 1 degree = 0.002777778 turn.

Related rotation conversions

• Degree to Turn
• 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 →