Turns to Degrees Calculator

Direct answer

Multiply the entered turns value by 360 to express it in degrees (°). This converts turn (turn) to degree (°) within the documented angle family.

Variables and formula

• Turns (turn): the source value measured in turn.
• Degrees (°): the same quantity expressed in degree.
• Conversion factor: 360 degrees per turn.

Degrees = Turns × 360

The generator emits numeric factors with at most 15 significant digits. Calculator results keep up to 10 significant digits for display; this formatting does not increase the precision of the measurement.

Unit definitions and named variants

Source unit: turn (turn). A turn is one complete plane rotation, equal to 360° or 2π rad. Named variant used: Complete plane rotation; the display token ‘turn’ is used by CalcMotive rather than asserting a standardized international symbol. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01; National Institute of Standards and Technology: NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically.

Target unit: degree (°). The degree is a long-standing non-SI plane-angle unit with the exact relation 1° = π/180 rad; a full turn is 360°. Named variant used: Degree of plane or phase angle; not degree Celsius or degree Fahrenheit. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01; National Institute of Standards and Technology: NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically.

The turn-to-° direction remains inside the angle quantity; it changes the unit label and numerical scale, not the kind of quantity being measured.

Relationship and precision

This route is exact once the documented unit convention is selected; the convention itself must match the source measurement.

• turn relationship: The relationship 1 turn = 360° is exact.
• ° relationship: The base factor is exactly 1 by the family base-unit choice. Conversion to radians involves π and therefore has no finite decimal expansion.

To audit the factor through the family base unit, divide the raw dataset factors 360 by 1. The generator emits that quotient once at 15 significant digits as the canonical direct factor 360; runtime calculations do not divide the already-emitted base factors again.

Reproducible example

For 10 turns, 10 × 360 = 3600 degrees. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.

Directional scale check

Because one turn contains 360 degrees, the target number is larger than the source number for every positive input. Zero maps to zero, while negative inputs are preserved as signed values under the stated direction convention.

Interpretation

Read the result as degrees, not turns. A value entered as turn leaves the calculator labelled °; this directional distinction matters even when the two units describe the same angle quantity.

Assumptions and limitations

• Negative turns are supported and represent full rotations in the opposite direction under the user’s convention.
• Radian and degree are explicitly distinct: one right angle is π/2 rad and 90°, so 1 rad = 180/π degrees and 1° = π/180 rad.
• Signed values are supported, but positive/negative rotational direction depends on the user’s coordinate convention.

Common mistakes

• A turn is not normalized; values greater than one turn remain greater than 360°.
• The degree symbol alone denotes angle here; °C and °F are temperature units.

Continue within the Angle family

See the Angle conversion hub for its five-unit reference table and all 20 directed routes.

• Reverse the direction: Degrees to Turns
• Compare another angle route: Turns to Radians
• Compare another angle route: Turns to Gradians
• Compare another angle route: Turns to Arcminutes
• Compare another angle route: Degrees to Radians

Assumptions

• The entered value uses turns exactly as labelled.
• Negative turns are supported and represent full rotations in the opposite direction under the user's convention.
• Rounding and measurement uncertainty remain the user's responsibility.

Sources and methodology

CalcMotive publishes the formula and assumptions so you can decide whether the estimate fits your use case. See our methodology standards.

• The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; accessed Aug 7, 2026
• NIST Guide to the SI, Appendix B.8: Factors for Units Listed Alphabetically; National Institute of Standards and Technology; accessed Aug 7, 2026