Square kilometre

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square kilometre
Comparison of units of area.png
The square kilometre (red square) compared to other areas, including a square mile (the entire yellow square)
General information
Unit system SI units
Unit of area
Symbolkm2
Conversions
1 km2in ...... is equal to ...
    SI units    
  • 1000000 m2
  • 100 ha
    Imperial/US    
  • 0.3861 sq mi
  • 247.1 acres

The square kilometre (square kilometer in American spelling; symbol: km2) is a multiple of the square metre, the SI unit of area or surface area.

Contents

1 km2 is equal to:

It is also approximately equal to:

Conversely:

The symbol "km2" means (km)2, square kilometre or kilometre squared and not k(m2), kilo–square metre. For example, 3 km2 is equal to 3×(1,000m)2 = 3,000,000 m2, not 3,000 m2.

Examples of areas of 1 square kilometre

Topographical map grids

Part of an Ordnance Survey map, published 1952. The grid lines are at one-kilometre intervals, giving each square an area of one square kilometre. The map shows that the area of the island is about two square kilometres. Caldey Island map 1952.jpg
Part of an Ordnance Survey map, published 1952. The grid lines are at one-kilometre intervals, giving each square an area of one square kilometre. The map shows that the area of the island is about two square kilometres.

Topographical map grids are worked out in metres, with the grid lines being 1,000 metres apart.

In each case, the grid lines enclose one square kilometre.

Medieval city centres

Map of Delft, Netherlands, dated 1659. The walls enclosed an area of about 1 square kilometre. Dimensions of the old city of Delft.svg
Map of Delft, Netherlands, dated 1659. The walls enclosed an area of about 1 square kilometre.

The area enclosed by the walls of many European medieval cities were about one square kilometre. These walls are often either still standing or the route they followed is still clearly visible, such as in Brussels, where the wall has been replaced by a ring road, or in Frankfurt, where the wall has been replaced by gardens. The approximate area of the old walled cities can often be worked out by fitting the course of the wall to a rectangle or an oval (ellipse). Examples include:

The walled city of Delft was approximately rectangular.
The approximate length of rectangle was about 1.30 kilometres (0.81 mi). [6]
The approximate width of the rectangle was about 0.75 kilometres (0.47 mi). [6]
A perfect rectangle with these measurements has an area of 1.30×0.75 = 0.9 km2
The medieval city is roughly rectangular with rounded north-east and north-west corners.
The maximum distance from east to west is 1.36 kilometres (0.85 mi). [6]
The maximum distance from north to south is 0.80 kilometres (0.50 mi). [6]
A perfect rectangle of these dimensions would be 1.36×0.80 = 1.088 km2.
The medieval city of Bruges, a major centre in Flanders, was roughly oval or elliptical in shape with the longer or semi-major axis running north and south.
The maximum distance from north to south (semi-major axis) is 2.53 kilometres (1.57 mi). [6]
The maximum distance from east to west (semi-minor axis) is 1.81 kilometres (1.12 mi). [6]
A perfect ellipse of these dimensions would be 2.53 × 1.81 × (π/4) = 3.597 km2.
Chester is one of the smaller English cities that has a near-intact city wall. [7]
The distance from Northgate to Watergate is about 855 metres. [6]
The distance from Eastgate to Westgate is about 589 metres. [6]
A perfect rectangle of these dimensions would be (855/1000) × (589/1000) = 0.504 km2.

Parks

Parks come in all sizes; a few are almost exactly one square kilometre in area. Here are some examples:

Golf courses

Using the figures published by golf course architects Crafter and Mogford, a course should have a fairway width of 120 metres and 40 metres clear beyond the hole. Assuming a 6,000-metre (6,600 yd) 18-hole course, an area of 80 hectares (0.8 square kilometre) needs to be allocated for the course itself. [17] [Note 1] Examples of golf courses that are about one square kilometre include:

Other areas of one square kilometre or thereabouts

See also

Notes

  1. Assume that each hole requires (6000÷18 + 40) = 373 metres in length. The area needed is (18 × 373 × 120 ÷ 10,000) = 80.64 ha (1 hectare = 10,000 square metres).

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References

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  2. There are 0.386102159 international square miles in a square kilometer while there are 0.386100614 US Survey square miles in the same measure. This is because the US Survey measures are very slightly larger than the international measures. [1]
  3. There are 247.105381467 international acres in a square kilometre while there are only 247.104393047 of the very slightly larger US Survey acres. [1]
  4. An International square mile equals 2.58998811 km2 while the slightly larger US Survey square mile equals 2.58999847 km2. [1]
  5. 1 acre (International) = 0.004046856 km2 while 1 acre (US Survey) = 0.004046873 km2 [1]
  6. 1 2 3 4 5 6 7 8 Measurements taken from Google Earth
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