Length · Unit Converter

Convert Virgate to Square Kilometer

Convert virgates to square kilometers instantly. 1 virgate = 0.121406 square kilometer — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Kilometer to Virgate converter for the reverse conversion.

Written by Sunith Babu L, Ph.D., Lead Engineer Reviewed by Girish V Kulkarni Ph.D.
Length category 2 min read Published Last reviewed Updated

Units explained

Historical / Pre-metric European

Virgate

What is a 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).

Origin of the virgate

Defined as 1/4 of a carucate, equivalent to two oxgangs. Considered the standard amount of land a free peasant family could farm.

Where it is used

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.

When and where it was developed

Anglo-Saxon English origin; obsolete by late medieval period.

Metric / SI

Square Kilometer

What is a square kilometer?

A square kilometer is a metric unit of area equal to 1,000,000 m² (one million square meters), or 100 hectares. It is used for measuring large land areas, regional geography, and country-scale statistics.

Origin of the square kilometer

Derived by squaring the kilometer (1000 m). The kilo- prefix comes from the Greek 'chilioi' (thousand).

Where it is used

Square kilometers express the area of cities, districts, lakes, forests, and entire countries. India's total area is approximately 3,287,263 km². 1 km² equals 100 hectares or about 247.105 acres.

When and where it was developed

Kilometer has been part of the metric system since 1795.

Virgate to Square Kilometer conversion formula

The relationship between virgates and square kilometers:

1 = 0.121406 km²
1 km² = 8.2368251981

To convert virgates to square kilometers, multiply the value in virgates by 0.121406. To reverse, multiply square kilometers by 8.2368251981.

How to use this converter

Type a value into the calculator. The result in square kilometers updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Square Kilometer to Virgate converter for the reverse direction.

Step-by-step: convert virgates to square kilometers

  1. Write down the value in virgates ().
  2. Multiply that value by the factor 0.121406.
  3. The product is the equivalent value in square kilometers (km²).
  4. To reverse, multiply the square kilometer value by 8.2368251981.

Worked examples

Example 1 — Convert 1 to km²:
1 × 0.121406 = 0.121406 km²

Example 2 — Convert 100 to km²:
100 × 0.121406 = 12.1406 km²

Virgate to Square Kilometer conversion table

Standard reference values for converting virgates to square kilometers:

Virgate []Square Kilometer [km²]
0.010.00121406
0.10.0121406
10.121406
20.242812
30.364218
40.485624
50.60703
101.21406
202.42812
303.64218
404.85624
506.0703
10012.1406
50060.703
1000121.406

Frequently asked questions

How many square kilometers is 1 virgate?
1 virgate equals 0.121406 square kilometer.
How do I convert virgates to square kilometers?
Multiply the value in virgates by 0.121406 to get square kilometers.
How do I convert square kilometers back to virgates?
Multiply the value in square kilometers by 8.2368251981, or use the Square Kilometer to Virgate converter.
How many square kilometers is 100 virgates?
100 virgates equals 12.1406 square kilometers, because 100 × 0.121406 = 12.1406.

Convert Virgate to other area units

Show all Virgate conversions

Sources & references

Conversion factor (1 = 0.121406 km²) verified against the following authoritative sources:

Results are provided for general reference. Verify critical measurements against an authoritative standard.