Degrees to Arcminutes Calculator

Direct answer

Multiply the entered degrees value by 60 to express it in arcminutes (arcmin). This converts degree (°) to arcminute (arcmin) within the documented angle family.

Variables and formula

• Degrees (°): the source value measured in degree.
• Arcminutes (arcmin): the same quantity expressed in arcminute.
• Conversion factor: 60 arcminutes per degree.

Arcminutes = Degrees × 60

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: 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.

Target unit: arcminute (arcmin). An arcminute is one minute of plane angle: exactly 1/60 degree or π/10,800 rad. Named variant used: Minute of plane angle; not minute of elapsed time. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01.

The °-to-arcmin 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 uses at least one deliberately preserved rounded factor. Treat the displayed factor as an approximation at the precision documented below.

• ° 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.
• arcmin relationship: The exact degree factor 1/60 is repeating in decimal. The source dataset preserves JavaScript’s raw evaluated value; the generator’s 15-significant-digit emission is 0.0166666666666667 degree.

To audit the factor through the family base unit, divide the raw dataset factors 1 by 0.016666666666666666. The generator emits that quotient once at 15 significant digits as the canonical direct factor 60; runtime calculations do not divide the already-emitted base factors again.

Reproducible example

For 10 degrees, 10 × 60 = 600 arcminutes. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.

Directional scale check

Because one degree contains 60 arcminutes, 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 arcminutes, not degrees. A value entered as ° leaves the calculator labelled arcmin; this directional distinction matters even when the two units describe the same angle quantity.

Assumptions and limitations

• Negative degrees are supported and represent the opposite rotational direction under the user’s convention.
• This family performs linear unit conversion only; it does not normalize angles to [0, 360), (−180, 180], or another interval.
• 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.

Common mistakes

• The degree symbol alone denotes angle here; °C and °F are temperature units.
• An arcminute is 1/60 degree; an arcsecond is 1/60 arcminute.

Continue within the Angle family

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

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

Assumptions

• The entered value uses degrees exactly as labelled.
• Negative degrees are supported and represent the opposite rotational 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