Convert Square Link to Square Millimeter
Convert square links to square millimeters instantly. 1 square link = 40468.564 square millimeter — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Millimeter to Square Link converter for the reverse conversion.
Units explained
Square Link
A square link is an imperial unit of area equal to approximately 0.0405 m². It is part of the chain-link surveying system used historically for land measurement.
Derived by squaring the link (1/100 of a chain = 7.92 inches). The Gunter's chain was introduced by English mathematician Edmund Gunter in 1620 for land surveying.
Square links appear in historical land surveys and legacy property records, particularly in the US Public Land Survey System (PLSS). Modern surveys use feet or meters instead.
Gunter's chain introduced in 1620; standardized via the 1959 International Yard and Pound Agreement.
Square Millimeter
A square millimeter is a metric unit of area equal to 10⁻⁶ m² (1 mm × 1 mm). It is widely used in engineering, electronics, and small-scale technical work.
Derived by squaring the millimeter, defined as 1/1000 of a meter. The milli- prefix comes from the Latin 'mille' (thousand).
Square millimeters express PCB trace cross-sections, the area of small mechanical features in CAD drawings, biological sample sizes, and material thicknesses.
Millimeter has been part of the metric system since 1795.
Square Link to Square Millimeter conversion formula
The relationship between square links and square millimeters:
To convert square links to square millimeters, multiply the value in square links by 40468.564. To reverse, multiply square millimeters by 2.471054e-5.
How to use this converter
Type a value into the calculator. The result in square millimeters 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 Millimeter to Square Link converter for the reverse direction.
Step-by-step: convert square links to square millimeters
- Write down the value in square links (lk²).
- Multiply that value by the factor 40468.564.
- The product is the equivalent value in square millimeters (mm²).
- To reverse, multiply the square millimeter value by 2.471054e-5.
Worked examples
Example 1 — Convert 1 lk² to mm²:
1 × 40468.564 = 40468.564 mm²
Example 2 — Convert 100 lk² to mm²:
100 × 40468.564 = 4046856.3999999999 mm²
Real-world example — Adjacent small-scale precision
One square link equals 1,000 square millimeters — the standard sub-millimeter precision conversion that materials engineers use whenever they switch between bulk material thickness specs (larger unit) and surface-finish characteristics (smaller unit).
1 lk² × 40468.564 = 40468.564 mm²
Real-world example — Adjacent metric sub-units
One square link equals 1,000 square millimeters. Engineers move between these scales constantly: PCB feature sizes in the larger unit, wire-bond diameters in the smaller.
1 lk² × 40468.564 = 40468.564 mm²
Square Link to Square Millimeter conversion table
Standard reference values for converting square links to square millimeters:
| Square Link [lk²] | Square Millimeter [mm²] |
|---|---|
| 0.01 | 404.68564 |
| 0.1 | 4046.8564 |
| 1 | 40468.564 |
| 2 | 80937.128 |
| 3 | 121405.692 |
| 4 | 161874.256 |
| 5 | 202342.82 |
| 10 | 404685.64 |
| 20 | 809371.28 |
| 30 | 1214056.9199999999 |
| 40 | 1618742.5600000001 |
| 50 | 2023428.2 |
| 100 | 4046856.3999999999 |
| 500 | 2.023428e+7 |
| 1000 | 4.046856e+7 |
Frequently asked questions
How many square millimeters is 1 square link?
How do I convert square links to square millimeters?
How do I convert square millimeters back to square links?
How many square millimeters is 100 square links?
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Metric / SI (5 units)
Imperial / US Customary (14 units)
Sources & references
Conversion factor (1 lk² = 40468.564 mm²) 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 Astronomical Union — System of Astronomical Constants
The IAU defines astronomical units including the AU (149597870700 m exactly) light-year and parsec used in astronomy and astrophysics.