Convert Virgate to Joch
Convert virgates to jochs instantly. 1 virgate = 21.0972091892 joch — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Joch to Virgate converter for the reverse conversion.
Units explained
Virgate
A virgate (or yardland) was a medieval English unit of land area equal to approximately 121,406 m² (about 30 acres or 1/4 of a carucate).
Defined as 1/4 of a carucate, equivalent to two oxgangs. Considered the standard amount of land a free peasant family could farm.
Virgates appear in medieval English manor records and Domesday Book. The unit was widely used for taxation and feudal land grants. Obsolete by the late medieval period.
Anglo-Saxon English origin; obsolete by late medieval period.
Joch
A joch was a historical Austrian and Hungarian unit of area equal to approximately 5754.6 m² (about 1.42 acres).
The Austrian joch was standardized at 1600 square Klafter (an Austrian unit of length). Used across the Austro-Hungarian Empire.
Jochs appear in historical Austrian, Hungarian, Czech, and other Central European land records. Abolished in favor of metric units during the late 19th and early 20th centuries.
Austrian/Hungarian imperial origin; replaced by metric units.
Virgate to Joch conversion formula
The relationship between virgates and jochs:
To convert virgates to jochs, multiply the value in virgates by 21.0972091892. To reverse, multiply jochs by 0.0473996343.
How to use this converter
Type a value into the calculator. The result in jochs updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Joch to Virgate converter for the reverse direction.
Step-by-step: convert virgates to jochs
- Write down the value in virgates ().
- Multiply that value by the factor 21.0972091892.
- The product is the equivalent value in jochs (joch).
- To reverse, multiply the joch value by 0.0473996343.
Worked examples
Example 1 — Convert 1 to joch:
1 × 21.0972091892 = 21.0972091892 joch
Example 2 — Convert 100 to joch:
100 × 21.0972091892 = 2109.720918917 joch
Virgate to Joch conversion table
Standard reference values for converting virgates to jochs:
| Virgate [] | Joch [joch] |
|---|---|
| 0.01 | 0.2109720919 |
| 0.1 | 2.1097209189 |
| 1 | 21.0972091892 |
| 2 | 42.1944183783 |
| 3 | 63.2916275675 |
| 4 | 84.3888367567 |
| 5 | 105.4860459459 |
| 10 | 210.9720918917 |
| 20 | 421.9441837834 |
| 30 | 632.9162756751 |
| 40 | 843.8883675668 |
| 50 | 1054.8604594585 |
| 100 | 2109.720918917 |
| 500 | 10548.6045945852 |
| 1000 | 21097.2091891704 |
Frequently asked questions
How many jochs is 1 virgate?
How do I convert virgates to jochs?
How do I convert jochs back to virgates?
How many jochs is 100 virgates?
Popular area unit conversions
Convert Virgate to other area units
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Metric / SI (5 units)
Imperial / US Customary (3 units)
Historical / Pre-metric European (5 units)
Sources & references
Conversion factor (1 = 21.0972091892 joch) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Hydrographic Organization — Resolution on the Nautical Mile
International authority that standardised the nautical mile at exactly 1852 m in 1929 — the value adopted worldwide for sea and air navigation.