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Degree to Arcminute Calculator & Formula (° to ')

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Live Conversion • ISO 80000-3:2019 Certified
1 Degree = 60 Minute
1 ° = 60 ' • 1 ' = 0.0166667 °
Degree to Minute: One Degree is equal to 60 Minutes.
Certified Authority Value
60.00000000
'
Exact: 1 ' ≡ 0.01666666667 °
°
°
Swap to Minute to Degree
'
' 60
Quick Values:
1 ° 5 ° 10 ° 25 ° 50 ° 100 ° 250 ° 500 ° 1,000 °
Conversion Formula
To convert Degree to Minute, multiply by 60
° × 60 = '

Calculation: 1 ° × 60 = 60 '

Common Degree to Minute Calculations

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

Tap any row to calculate
Minute to Degree: Reciprocal Summary
Minute to Degree Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 ' is equal to 0.0166667 ° (Degree) 1.667 × 10⁻²
5 ' is equal to 0.0833333 ° (Degree) 8.333 × 10⁻²
10 ' is equal to 0.166667 ° (Degree) 1.667 × 10⁻¹
50 ' is equal to 0.833333 ° (Degree) 8.333 × 10⁻¹
100 ' is equal to 1.666667 ° (Degree) 1.667 × 10⁰
View Complete 15-Row Minute to Degree 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 Degree (°) and Minute ('):

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 °

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 ′

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

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

How to Convert Degree to Minute

Converting Degree (°) to Minute (') is a core calculation in Plane Angle, which measures the circular arc subtended between two intersecting rays or diverging lines. Because Degree represents a larger magnitude than Minute, converting from ° to ' expands the numerical figure. Exactly 1 Degree encompasses 60 Minute. To convert any quantity, multiply the value in Degree by 60.

Direct Factor1 ° = 60 '
Inverse Ratio1 ' = 0.0166667 °
Conversion ScaleDirect Proportional Magnitude Expansion
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 ° = 1 radian (rad)
2. Target SI Bridge (ktarget):1 ' = 0.0166667 radian (rad)
Step-by-step substitution for Degree → Minute:V(') = V(°) × ( 1 / 0.0166667 ) = V(°) × 60
Mathematical FormulaValue in Minute = Value in Degree × 60Direct computational formula applied for standard conversion.
Worked Example

Converting 8 ° yields an exact output of 480 ' in Minute. Under higher industrial throughput, 2500 ° translates to 150000 '.

Inverse check: 1 ' = 0.0166667 °.

Understanding Degree and Minute

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)

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

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 Minute
Perpendicular orthogonal intersection right angle (90°)90 °5400 '
Straight line flat angle rotation in Euclidean plane geometry (180°)180 °10800 '
Complete 360-degree full circle revolution rotation (360°)360 °21600 '
Equilateral triangle internal corner interior angle (60°)60 °3600 '
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

The mathematical formula to convert degrees to minutes is: [value] * 60 = minutes. 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 minutes back to degrees, you must divide your starting value by 60. Our bidirectional tool automatically computes this inverse equation the moment you type into the minute input field.

1 Degree is larger than 1 Minute. Specifically, 1 Degree equals exactly 60 minutes, making it 60 times larger (a difference of 1.78 orders of magnitude). Therefore, quantities expressed in minutes require a larger numerical value to represent the same physical amount.

A typical perpendicular orthogonal intersection right angle (90°) measures 90 °, which corresponds to 5400 min (Minute).

There are exactly 60 arcminutes in one degree. Mathematically: 1 ° = 60 '.

To find minutes of arc, multiply the decimal degree value by 60. The equation is: V(') = V(°) × 60.

To convert minutes back into degrees, multiply the minute value by 0.0166667 (or divide by 60). The formula is: V(°) = V(') × 0.0166667.

Minutes of arc are standard in astronomical observation, optometry, and cartographic GPS coordinates (latitude and longitude positioning).

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