Convert Minutes (') to Gradians (grad)
1 minute equals 0.0185185 gradians.
Minute to Gradian Converter
How to Convert Minute to Gradian
1 minute = 0.0185185 gradians
Gradian = Minute × 0.0185185
Example: 1' × 0.0185185 = 0.0185185 grad
Reverse Conversion
To convert gradians back to minutes:
- Remember, 1 gradian equals 54 minutes.
- To convert 0.0185185 grad to', multiply
0.0185185 x 54, resulting in1'.
Common Minute to Gradian Conversions
| Minute | Gradian | Actions |
|---|---|---|
| 1 minute | 0.0185185 gradians | |
| 5 minutes | 0.0925926 gradians | |
| 10 minutes | 0.185185 gradians | |
| 25 minutes | 0.462963 gradians |
| Minute | Gradian | Actions |
|---|---|---|
| 50 minutes | 0.925926 gradians | |
| 100 minutes | 1.85185 gradians | |
| 500 minutes | 9.25926 gradians | |
| 1000 minutes | 18.5185 gradians |
Minutes to gradians Conversion Table
Reference table with common minutes to gradians conversions. All values calculated with high precision.
Minutes to Gradians Table
0.01 to 50
Minutes to Gradians Table
100 to 10000000
Gradians to Minutes Table
1 to 100000
Definition of Minute
- Definition
An arcminute (minute of arc) is 1/60 of a degree.
It is used in astronomy, optics, navigation, geodesy, and surveying for small angular measurements.
- Exact factor
- 1′ = 1/60° = π/10,800 rad (exact)
- Examples
- 60′ = 1°
- 30′ = 0.5°
Definition of Gradian
- Definition
The gradian (grad) divides a right angle into 100 equal parts, making 400 gradians in a full circle.
It is used in surveying, geodesy, cartography, and some engineering standards, especially in parts of Europe.
- Exact factor
- 1 grad = π/200 rad (exact)
- Examples
- 100 grad = 90°
- 200 grad = 180°
About the Minute
Facts & Uses
- 1 arcminute (′) = 1/60 of a degree = π/10800 rad ≈ 0.000291 rad. NOT to be confused with the time minute.
- Standard for geographic latitude/longitude (1 nautical mile = 1 arcminute of latitude, the original definition).
- Used in astronomy for angular sizes of celestial objects (the full Moon ≈ 31′, Jupiter ≈ 30-50″ depending on opposition).
- Common in marksmanship as MOA (Minutes of Angle) for scope adjustment: 1 MOA ≈ 1 inch at 100 yards (actually 1.047″).
Curiosities
- The arcminute symbol ′ (prime, U+2032) is distinct from the apostrophe ('); using the wrong character is a common typesetting error in scientific writing.
- Human visual acuity: a person with 20/20 vision can distinguish two points separated by about 1 arcminute — the basis of the Snellen eye chart design.
- Geographic coordinates: 40°45′ N reads as "forty degrees, forty-five minutes north" — a precision of about 1.85 km in latitude.
- Approximate equivalents: 1 arcminute = 1/60° = 60 arcseconds ≈ 0.000291 rad.
Sources
About the Gradian
Facts & Uses
- 1 gradian (grad, gon) = 1/400 of a full circle = 0.9° exactly. Designed to give a right angle a clean round value of 100 grad.
- Standard in European surveying (especially France, Germany, and parts of Eastern Europe), civil engineering, and topographic mapping.
- Used in some scientific calculators as an alternative angle mode (DEG / RAD / GRAD), though rarely encountered in everyday math.
- Convenient for decimal calculations in surveying because percentages of a quadrant map directly: 50 grad = 45° = half a right angle.
Curiosities
- The gradian was introduced during the French Revolution (1790s) as part of the metric system's push for decimalization — even time was briefly decimalized too.
- The name "gon" (from Greek "gōnía", angle) is the official ISO 31-1 name; "gradian" and "grade" are common synonyms.
- Surveyors who use the gradian point out that a 1% slope = 0.6366 grad — but they prefer the cleaner 1° = 1.111 grad relationship for plan reading.
- Approximate equivalents: 1 grad = 0.9° = π/200 rad ≈ 0.01571 rad; 100 grad = 90° = π/2 rad.
Sources
Frequently Asked Questions
How many gradians are in one minute?
One minute equals 0.0185185 gradians. To convert, multiply the minute value by 0.0185185. For the reverse, divide the gradian value by 0.0185185 (or multiply by 54).
What is 60 minutes in gradians?
60 minutes = 1.1111 gradians. This is one of the most commonly searched conversions for this pair.
How precise is the minute-to-gradian conversion?
The factor 0.0185185 is accurate to 6 significant figures, derived from international measurement standards. Our calculator uses full precision internally.
Looking for the reverse? Convert Gradian to Minute
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