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Minute to Degree (' to °) Calculator & Conversion Formula

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Live Conversion • ISO 80000-3:2019 Certified
1 Minute = 0.016666667 Degree
1 ' = 0.0166667 ° • 1 ° = 60 '
Minute to Degree: One Minute is equal to 0.016666667 Degrees.
Certified Authority Value
0.01666667
°
Exact: 1 ° ≡ 60 '
'
'
Swap to Degree to Minute
°
° 0.016666667
Quick Values:
1 ' 5 ' 10 ' 25 ' 50 ' 100 ' 250 ' 500 ' 1,000 '
Conversion Formula
To convert Minute to Degree, multiply by 0.016666667
' × 0.016666667 = °

Calculation: 1 ' × 0.016666667 = 0.016666667 °

Common Minute to Degree Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Minute (') and Degree (°).

Tap any row to calculate
Minute to Degree: Primary Direct Table (15 Steps)
Minute to Degree Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 ' is equal to 1.666667 × 10⁻⁵ ° (Degree) 1.667 × 10⁻⁵
0.01 ' is equal to 0.000166667 ° (Degree) 1.667 × 10⁻⁴
0.1 ' is equal to 0.00166667 ° (Degree) 1.667 × 10⁻³
0.5 ' is equal to 0.00833333 ° (Degree) 8.333 × 10⁻³
1 ' is equal to 0.0166667 ° (Degree) 1.667 × 10⁻²
2 ' is equal to 0.0333333 ° (Degree) 3.333 × 10⁻²
5 ' is equal to 0.0833333 ° (Degree) 8.333 × 10⁻²
10 ' is equal to 0.166667 ° (Degree) 1.667 × 10⁻¹
20 ' is equal to 0.333333 ° (Degree) 3.333 × 10⁻¹
25 ' is equal to 0.416667 ° (Degree) 4.167 × 10⁻¹
50 ' is equal to 0.833333 ° (Degree) 8.333 × 10⁻¹
100 ' is equal to 1.666667 ° (Degree) 1.667 × 10⁰
250 ' is equal to 4.166667 ° (Degree) 4.167 × 10⁰
500 ' is equal to 8.333333 ° (Degree) 8.333 × 10⁰
1000 ' is equal to 16.666667 ° (Degree) 1.667 × 10¹
Degree to Minute: Reciprocal Summary
Degree to Minute Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 ° is equal to 60 ' (Minute) 6 × 10¹
5 ° is equal to 300 ' (Minute) 3 × 10²
10 ° is equal to 600 ' (Minute) 6 × 10²
50 ° is equal to 3000 ' (Minute) 3 × 10³
100 ° is equal to 6000 ' (Minute) 6 × 10³
View Complete 15-Row Degree to Minute Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Minute (') and Degree (°):

Minute References:

  • One sixtieth of a degree of arc in celestial navigation and astronomy 1 ′
  • Apparent angular visual diameter of the full Moon viewed from Earth (~31 arcminutes) 31 ′

Degree References:

  • Perpendicular orthogonal intersection right angle (90°) 90 °
  • Straight line flat angle rotation in Euclidean plane geometry (180°) 180 °
  • Complete 360-degree full circle revolution rotation (360°) 360 °
  • Equilateral triangle internal corner interior angle (60°) 60 °

Tap any benchmark above to automatically calculate its exact equivalent in Degree.

ISQ Dimension: Dimensionless [L / L] Coherent SI Unit: radian (rad) Geoscience, Geodesy & Petroleum Engineering

How to Convert Minute to Degree

Converting Minute (') to Degree (°) is a core calculation in Plane Angle, which measures the circular arc subtended between two intersecting rays or diverging lines. Because Degree is a broader physical scale than Minute, converting from ' to ° condenses the numerical figure. It takes 60 Minute to equal a single Degree (1 ' = 0.0166667 °). To convert any quantity, multiply by 0.0166667 (or divide by 60).

Direct Factor1 ' = 0.0166667 °
Inverse Ratio1 ° = 60 '
Conversion ScaleDirect Proportional Magnitude Compression
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (radian (rad)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 ' = 0.0166667 radian (rad)
2. Target SI Bridge (ktarget):1 ° = 1 radian (rad)
Step-by-step substitution for Minute → Degree:V(°) = V(') × ( 0.0166667 / 1 ) = V(') × 0.0166667
Mathematical FormulaValue in Degree = Value in Minute × 0.016666667Direct computational formula applied for standard conversion.
Worked Example

To convert 120 Minute (') to Degree (°): multiply 120 by 0.0166667 to get 2 °. At an industrial engineering scale, 10000 ' converts to 166.666667 °.

Inverse check: 1 ° = 60 '.

Understanding Minute and Degree

Minute

'
Standard Unit

A Minute (') is a recognized unit for plane angle.

Applications & Practical Context

In practical angle terms, a one sixtieth of a degree of arc in celestial navigation and astronomy equals 1 ′, a apparent angular visual diameter of the full Moon viewed from Earth (~31 arcminutes) equals 31 ′.

Physical Setup

A physical magnitude of 1 ' corresponds to 0.0166667 rad in standard SI measurement.

Conversion to SI Unit: radian (rad)
1 ' = 0.0166667 rad

Degree

°
SI Base Standard

A Degree (°) is the official base standard unit for plane angle.

Applications & Practical Context

In practical angle terms, a perpendicular orthogonal intersection right angle (90°) equals 90 °, a straight line flat angle rotation in Euclidean plane geometry (180°) equals 180 °, a complete 360-degree full circle revolution rotation (360°) equals 360 °.

Physical Setup

A plane angle of 1 ° represents the angular divergence subtending an arc equal to 1 Degree.

Conversion to SI Unit: radian (rad)
1 ° = 1 rad (Base Standard)

Domain Metrology & Engineering Applications

Governing Law & Equation

Subtended Circular Arc Ratio (θ = s / r)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using electronic digital theodolites, optical polygon autocollimators, and rotary optical angle encoders.

Primary Industry Sectors

Applied across geodetic triangulation surveys, aerospace satellite gimbal tracking, civil bridge alignment, and telescope mount tracking under international metrology standard ISO 80000-3:2019.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Degree
One sixtieth of a degree of arc in celestial navigation and astronomy1 ′0.0166667 °
Apparent angular visual diameter of the full Moon viewed from Earth (~31 arcminutes)31 ′0.516667 °
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-3:2019 and the BIPM SI Brochure (9th Edition). Governed by Subtended Circular Arc Ratio (θ = s / r) under ISO 80000 dimensional vector Dimensionless [L / L].

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Frequently Asked Questions

There are exactly 0.016666667 degrees (°) in 1 minute ('). To calculate larger amounts manually, simply multiply your total number of minutes by the conversion multiplier of 0.016666667.

The mathematical formula to convert minutes to degrees is: [value] * 0.016666667 = degrees. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from degrees back to minutes, you must divide your starting value by 0.016666667. Our bidirectional tool automatically computes this inverse equation the moment you type into the degree input field.

1 Degree is larger than 1 Minute. Specifically, 1 Minute equals 0.016666667 degrees, meaning 1 Degree is 60 times larger than 1 Minute (a difference of 1.78 orders of magnitude). Expressing measurements in minutes requires a larger numerical value to represent the equivalent physical magnitude.

A typical one sixtieth of a degree of arc in celestial navigation and astronomy measures 1 ′, which corresponds to 0.01667 Degree (Degree).

There is exactly 1 ' = 0.0166667 ° in angular dimensional conversion.

The specific mathematical formula is V(°) = V(') × 0.0166667.

The reverse mathematical formula is V(') = V(°) × 60.

In scientific metrology and celestial navigation, angles are measured in degrees and minutes, necessitating accurate fractional degree conversions under ISO 80000 metrology standards.

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