How do I convert turns to degrees by hand?

Use ° = turn × 360. The step-by-step panel shows the same calculation with your own numbers substituted in.

Is the answer exact or rounded?

The calculation itself uses the full stored precision of the defined factor. Only the displayed figure is rounded, and the page also shows a shorter everyday value beside the full one.

Can I check the conversion the other way round?

Yes. The result panel converts the answer straight back into your original unit so you can confirm nothing was lost.

Can I download the result?

Yes — the PDF button produces a branded report with your input, the answer, the formula and the full working.

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Unit Conversions & Measures

Turns to Degrees Converter

Convert turns to degrees with the exact factor, the working shown step by step and a plain-English explanation.

Your inputs

Change any value to update the result instantly.

Unit Conversions & Measures

Value in turns

turn

Degrees

3,600 °

Conversion factor

1 turn = 360 °

Value in radian (internal base unit)

62.831853 rad

Reverse conversion check

3,600 ° = 10 turn

Rounded for everyday use

3,600 °

What this calculator does

Converts a measurement given in turn (full circle)s into degrees using the defined conversion factor.

What your result means

The same quantity expressed in ° instead of turn. Nothing about the measurement itself changes.

Formula and working

° = turn × 360

1
Start with your value
10 turn
2
Convert to radian
10 × 6.283185307 = 62.831853 rad
3
Convert into degrees
62.831853 ÷ 0.0174532925 = 3,600 °
4
Result
10 turn = 3,600 °

Frequently asked questions

Symbols and assumptions

turn: Input unit — turn (full circle)
°: Output unit — degree
rad: Base unit used internally for angle

• Both units measure angle, so the physical quantity is unchanged by the conversion.
• The relationship is exactly linear: 1 turn = 360 °.
• Values are converted through the SI base unit for this quantity rather than pair by pair.

Sources and review

Reviewed 2026-09-22 · Next review 2027-09-22

The International System of Units (SI Brochure), 9th editionBureau International des Poids et Mesures · 9th edition Guide for the Use of the International System of Units (SI), NIST Special Publication 811 — conversion factorsNational Institute of Standards and Technology · 2008 edition

• A unit conversion changes how a number is expressed, not how it was measured — the answer can never be more accurate than the value entered.
• Displayed figures are rounded for readability; the full stored precision of the ° value is used in every onward calculation.

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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