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Convert Area from Square Millimeter to Are (mm2 to a)
Multiple conversions

Multiple conversions

On This Page

Square Millimeter to Are Conversion FormulaExampleWhat is a Square Millimeter (mm²)?How Big is a Square Millimeter?What is a Square Millimeter Used For?Converting Square Millimeters to Other UnitsWhat is an Are (a)?From Are to Hectare: A Common Land MeasurementThe History and Modern Use of the AreRelated Metric Units: Centiare, Decare, and HectareWhat is the metric system?Square Millimeter to Are Conversion Table

Square Millimeter to Are Conversion Formula

To convert from Square Millimeter (mm2) to Are (a), use the following formula:

 Are (a)\textbf{ Are} \text{ (a)}

=1106×1100× Square Millimeter (mm2)= \frac{1}{10^{6}} \times \frac{1}{100}\times \textbf{ Square Millimeter} \text{ (mm2)}

=1108× Square Millimeter (mm2)= \frac{1}{10^{8}}\times \textbf{ Square Millimeter} \text{ (mm2)}

=10−8× Square Millimeter (mm2)= 10^{-8}\times \textbf{ Square Millimeter} \text{ (mm2)}

Example

Let's convert 5 Square Millimeter (mm2) to Are (a).

Using the formula:

5×10−8=5×10−85 \times 10^{-8} = 5\times 10^{-8}

Therefore, 5 Square Millimeter (mm2) is equal to 5×10−85\times 10^{-8} Are (a).

What is a Square Millimeter (mm²)?

A square millimeter (mm²), sometimes written as sq mm, is a unit of area in the metric system.

It represents a tiny area equal to one-millionth of a square meter (10⁻⁶ m²).

How Big is a Square Millimeter?

A square millimeter is a minuscule unit of area, representing a square with sides that are each one millimeter long.

To put its size into perspective, the head of a common pin is approximately one to two square millimeters. A single grain of fine sand can also cover an area of about one mm².

This small scale makes it the ideal unit for measuring minute surfaces with high precision.

What is a Square Millimeter Used For?

The square millimeter is a crucial unit in many technical and scientific fields. Its precision is essential for:

  • Electronics: Measuring the cross-sectional area of wires and the size of tiny components on integrated circuits.
  • Medicine: Quantifying the size of microscopic samples, such as the cross-section of a nerve fiber or a small skin lesion.
  • Engineering: Calculating pressure and stress on small mechanical parts, where precision is critical (Stress = Force/Area).

Converting Square Millimeters to Other Units

As part of the International System of Units (SI), the square millimeter relates directly to other standard units of area, making conversions straightforward.

The most common conversions are:

  • 100 square millimeters (mm²) = 1 square centimeter (cm²)
  • 1,000,000 square millimeters (mm²) = 1 square meter (m²)

This simple, base-10 relationship is a key advantage of the metric system, particularly in scientific and international contexts.

What is an Are (a)?

An are (a) is a metric unit of area, defined as 100 square meters (100 m²).

It is part of the same system as the more widely known hectare. The plural form is ares.

From Are to Hectare: A Common Land Measurement

The hectare (ha), a much more common unit for measuring land, is derived directly from the are.

The prefix 'hecto-' means 100, so one hectare is equal to 100 ares.

Since one are is 100 square meters, a hectare is equivalent to 10,000 square meters (100 ares × 100 m²/are). This makes the hectare an ideal unit for measuring large areas, such as farms, forests, and parks.

The History and Modern Use of the Are

The are was first established as part of the original French metric system in 1795. It was designed to serve as a standard base unit for measuring land, simplifying calculations required by older, traditional units.

While the hectare is more common today in agriculture and forestry, the are is still used in specific contexts, such as real estate and land registries in many countries, particularly throughout Europe.

The are serves as the foundation for other metric units of land area, making conversions straightforward. The most common related units include:

  • Centiare (ca): Equal to one-hundredth of an are. This makes a centiare precisely one square meter (1 m²).
  • Decare (daa): Equal to ten ares, or 1,000 square meters (1,000 m²). The decare is often used for land measurement in parts of Eastern Europe and the Middle East.
  • Hectare (ha): Equal to one hundred ares, or 10,000 square meters (10,000 m²).

What is the metric system?

The metric system is a decimal-based system of measurement used by nearly every country in the world. Its key feature is the use of prefixes to denote multiples and submultiples of the base units by powers of ten.

Square Millimeter to Are Conversion Table

Here are some quick reference conversions from Square Millimeter (mm2) to Are (a):

Square MillimetersAres
0.000001 mm210−1410^{-14} a
0.001 mm210−1110^{-11} a
0.1 mm210−910^{-9} a
1 mm210−810^{-8} a
2 mm22×10−82\times 10^{-8} a
3 mm23×10−83\times 10^{-8} a
4 mm24×10−84\times 10^{-8} a
5 mm25×10−85\times 10^{-8} a
6 mm26×10−86\times 10^{-8} a
7 mm27×10−87\times 10^{-8} a
8 mm28×10−88\times 10^{-8} a
9 mm29×10−89\times 10^{-8} a
10 mm210−710^{-7} a
20 mm22×10−72\times 10^{-7} a
30 mm23×10−73\times 10^{-7} a
40 mm24×10−74\times 10^{-7} a
50 mm25×10−75\times 10^{-7} a
100 mm210−610^{-6} a
1000 mm210−510^{-5} a
10000 mm210−410^{-4} a

List some Area Converters:

For all Area converters, choose units using the From/To dropdowns above.