Convert Are to Square Millimeter
Convert ares to square millimeters instantly. 1 are = 1e+8 square millimeter — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Millimeter to Are converter for the reverse conversion.
Units explained
Are
An are is a metric unit of area equal to 100 square meters. It is used in some European countries for land measurement, especially for smaller plots like vineyards and gardens.
Introduced as part of the French metric system in 1795. The name comes from the Latin 'area' meaning surface or open ground.
Ares are still used in some European countries (especially Switzerland and France) for small-plot land measurement. In Switzerland, an are is a common unit for vineyard size. Most modern contexts prefer square meters or hectares.
Defined in 1795 in France as part of the original metric system.
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.
Are to Square Millimeter conversion formula
The relationship between ares and square millimeters:
To convert ares to square millimeters, multiply the value in ares by 1e+8. To reverse, multiply square millimeters by 1e-8.
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 Are converter for the reverse direction.
Step-by-step: convert ares to square millimeters
- Write down the value in ares (a).
- Multiply that value by the factor 1e+8.
- The product is the equivalent value in square millimeters (mm²).
- To reverse, multiply the square millimeter value by 1e-8.
Worked examples
Example 1 — Convert 1 a to mm²:
1 × 1e+8 = 1e+8 mm²
Example 2 — Convert 100 a to mm²:
100 × 1e+8 = 1e+10 mm²
Are to Square Millimeter conversion table
Standard reference values for converting ares to square millimeters:
| Are [a] | Square Millimeter [mm²] |
|---|---|
| 0.01 | 1000000 |
| 0.1 | 1e+7 |
| 1 | 1e+8 |
| 2 | 2e+8 |
| 3 | 3e+8 |
| 4 | 4e+8 |
| 5 | 5e+8 |
| 10 | 1e+9 |
| 20 | 2e+9 |
| 30 | 3e+9 |
| 40 | 4e+9 |
| 50 | 5e+9 |
| 100 | 1e+10 |
| 500 | 5e+10 |
| 1000 | 1e+11 |
Frequently asked questions
How many square millimeters is 1 are?
How do I convert ares to square millimeters?
How do I convert square millimeters back to ares?
How many square millimeters is 100 ares?
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Metric / SI (15 units)
Imperial / US Customary (3 units)
Sources & references
Conversion factor (1 a = 1e+8 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.