Length · Unit Converter

Convert Square Kilometer to Virgate

Convert square kilometers to virgates instantly. 1 square kilometer = 8.2368251981 virgate — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Virgate to Square Kilometer 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

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.

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.

Square Kilometer to Virgate conversion formula

The relationship between square kilometers and virgates:

1 km² = 8.2368251981
1 = 0.121406 km²

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

How to use this converter

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

Step-by-step: convert square kilometers to virgates

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

Worked examples

Example 1 — Convert 1 km² to :
1 × 8.2368251981 = 8.2368251981

Example 2 — Convert 100 km² to :
100 × 8.2368251981 = 823.6825198096

Square Kilometer to Virgate conversion table

Standard reference values for converting square kilometers to virgates:

Square Kilometer [km²]Virgate []
0.010.082368252
0.10.8236825198
18.2368251981
216.4736503962
324.7104755943
432.9473007924
541.1841259905
1082.368251981
20164.7365039619
30247.1047559429
40329.4730079238
50411.8412599048
100823.6825198096
5004118.4125990478
10008236.8251980956

Frequently asked questions

How many virgates is 1 square kilometer?
1 square kilometer equals 8.2368251981 virgate.
How do I convert square kilometers to virgates?
Multiply the value in square kilometers by 8.2368251981 to get virgates.
How do I convert virgates back to square kilometers?
Multiply the value in virgates by 0.121406, or use the Virgate to Square Kilometer converter.
How many virgates is 100 square kilometers?
100 square kilometers equals 823.6825198096 virgates, because 100 × 8.2368251981 = 823.6825198096.

Convert Square Kilometer to other area units

Show all Square Kilometer conversions
Metric / SI (15 units)
Imperial / US Customary (15 units)
US Survey (5 units)
Indian Subcontinent (16 units)
Other Regional (10 units)
Scientific / Physics (5 units)
Historical / Pre-metric European (6 units)

Sources & references

Conversion factor (1 km² = 8.2368251981 ) verified against the following authoritative sources:

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