Area Converter
Convert area units instantly across metric, imperial, U.S. customary, land measurement, real estate, agriculture, and geometry units. Convert square meters, square centimeters, square millimeters, square kilometers, hectares, acres, square feet, square inches, square yards, square miles, ares, barns, roods, square rods, bigha, biswa, kanal, marla, grounds, cents, gaj, and more.
Convert Area Units
Result
| Output | Value | Formula / meaning |
|---|
Shape Area Calculator
Calculate area from dimensions first, then send the result into the converter above.
Formula Steps
What Is an Area Converter?
An area converter is a measurement tool that changes a surface measurement from one area unit into another. Area measures two-dimensional space: the space covered by a floor, field, wall, land plot, screen, roof, garden, map region, or geometric shape. This Area Converter supports everyday, academic, real estate, construction, land, agriculture, and scientific area units.
The most important reference unit is the square meter, written \(m^2\). A square meter is the area of a square that is one meter on each side. NIST explains area units visually: a square centimeter is \(1cm \times 1cm\), a square meter is \(1m \times 1m\), and a hectare is \(100m \times 100m=10{,}000m^2\). :contentReference[oaicite:1]{index=1}
This converter uses square meters as the bridge unit. Every input unit is first converted to \(m^2\), then converted from \(m^2\) to the target unit.
Area Conversion Formula
The general conversion method is:
\[ Value_{m^2}=Value_{input}\times Factor_{input} \]
\[ Value_{output}=\frac{Value_{m^2}}{Factor_{output}} \]
For example, to convert \(1\) hectare to square meters:
\[ 1ha=10{,}000m^2 \]
To convert \(1\) hectare to acres:
\[ acres=\frac{10{,}000}{4046.8564224}\approx2.4711 \]
Metric Area Units
Metric area units are based on powers of ten, but because area is squared, the jumps are larger than length-unit jumps. For example:
\[ 1m=100cm \]
\[ 1m^2=(100cm)^2=10{,}000cm^2 \]
This is the most common mistake in area conversion. You must square the length factor.
| Metric unit | Symbol | Square meter equivalent | Common use |
|---|---|---|---|
| Square millimeter | mm² | 0.000001 | Small surface areas |
| Square centimeter | cm² | 0.0001 | School geometry, small objects |
| Square meter | m² | 1 | Rooms, floors, walls, land plots |
| Are | a | 100 | Metric land area |
| Hectare | ha | 10,000 | Agriculture, land, planning |
| Square kilometer | km² | 1,000,000 | Cities, regions, countries |
Imperial and U.S. Area Units
Imperial and U.S. area units are common in real estate, construction, land records, agriculture, and property descriptions. The most common are square inches, square feet, square yards, acres, and square miles. A square foot is the area of a square one foot on each side:
\[ 1ft^2=0.09290304m^2 \]
A square yard is:
\[ 1yd^2=0.83612736m^2 \]
An acre is:
\[ 1acre=4046.8564224m^2 \]
Land and Agriculture Area Units
Land area units are used differently by country and region. Hectares and acres are internationally common. Square feet and square yards are common in property listings. In South Asia, land records may use bigha, biswa, kanal, marla, ground, cent, and gaj. These regional units can vary by location, especially bigha and biswa.
This converter includes widely used practical defaults for several South Asian land units. For legal land transactions, always verify the official local definition used by the land authority, municipality, revenue department, or property registry.
Common Area Conversion Chart
| Unit | Equivalent in square meters | Approximate equivalent |
|---|---|---|
| 1 cm² | 0.0001 m² | 100 mm² |
| 1 m² | 1 m² | 10.7639 ft² |
| 1 ft² | 0.09290304 m² | 144 in² |
| 1 yd² | 0.83612736 m² | 9 ft² |
| 1 acre | 4046.8564224 m² | 43,560 ft² |
| 1 hectare | 10,000 m² | 2.4711 acres |
| 1 km² | 1,000,000 m² | 100 hectares |
| 1 mi² | 2,589,988.110336 m² | 640 acres |
Shape Area Formulas
Sometimes the area is not given directly. Instead, you know the dimensions of a shape. The mini shape calculator on this page handles common shapes using these formulas:
\[ A_{square}=s^2 \]
\[ A_{rectangle}=lw \]
\[ A_{triangle}=\frac{1}{2}bh \]
\[ A_{circle}=\pi r^2 \]
\[ A_{trapezoid}=\frac{1}{2}(a+b)h \]
\[ A_{parallelogram}=bh \]
\[ A_{ellipse}=\pi ab \]
After calculating the shape area in square meters, you can send it to the converter and convert it to square feet, acres, hectares, square yards, or any other supported unit.
Why Area Conversion Is Squared
Length conversion is one-dimensional. Area conversion is two-dimensional. That difference matters. If \(1m=100cm\), then a square that is \(1m\) by \(1m\) is \(100cm\) by \(100cm\):
\[ 1m^2=100cm\times100cm=10{,}000cm^2 \]
This is why you cannot convert \(m^2\) to \(cm^2\) by multiplying by \(100\). You must multiply by \(10{,}000\).
Worked Examples
Convert \(1m^2\) to square feet
Since:
\[ 1ft=0.3048m \]
then:
\[ 1ft^2=(0.3048)^2m^2=0.09290304m^2 \]
Therefore:
\[ 1m^2=\frac{1}{0.09290304}=10.7639104ft^2 \]
Convert \(1\) hectare to acres
Since:
\[ 1ha=10{,}000m^2 \]
\[ 1acre=4046.8564224m^2 \]
Therefore:
\[ 1ha=\frac{10{,}000}{4046.8564224}\approx2.4711acres \]
Convert \(500ft^2\) to square meters
Since:
\[ 1ft^2=0.09290304m^2 \]
Therefore:
\[ 500ft^2=500\times0.09290304=46.45152m^2 \]
Convert \(1km^2\) to hectares
Since:
\[ 1km^2=1{,}000{,}000m^2 \]
\[ 1ha=10{,}000m^2 \]
Therefore:
\[ 1km^2=100ha \]
Practical Uses
How to Use This Area Converter
- Enter the area value you want to convert.
- Select the source unit, such as square meters, square feet, acres, or hectares.
- Select the target unit.
- Use the quick category dropdown if you want to focus on metric, imperial, land, Indian, or scientific units.
- Choose decimal precision.
- Click “Convert Area.”
- Review the main result, equivalent units, and step-by-step conversion formula.
- Use the shape area calculator if you first need to calculate area from dimensions.
Common Mistakes
| Mistake | Why it happens | Correct idea |
|---|---|---|
| Converting \(m^2\) to \(cm^2\) by multiplying by 100 | Using length conversion instead of area conversion | \(1m^2=10{,}000cm^2\) |
| Confusing acre and hectare | Both are land units | \(1ha\approx2.4711acres\) |
| Assuming bigha is the same everywhere | Regional land units vary | Verify local legal definitions |
| Mixing square feet and running feet | Construction measurements often use both | Square feet measure area; running feet measure length |
| Forgetting to convert dimensions before area calculation | Dimensions may be in different units | Convert all dimensions to one unit first |
Why This Page Does Not Include Exam Score Tables
An Area Converter is a measurement and geometry utility, not an exam score calculator. Score guidelines, score tables, and next exam timetables do not apply directly to this page. The equivalent useful content is accurate conversion factors, SI area explanation, shape formulas, land measurement warnings, worked examples, SVG diagrams, practical use cases, and FAQs.
Area Converter FAQs
What is the SI unit of area?
The SI unit of area is the square meter, written \(m^2\).
How many square meters are in one hectare?
One hectare equals \(10{,}000m^2\).
How many acres are in one hectare?
One hectare is approximately \(2.4711\) acres.
How many square feet are in one square meter?
One square meter is approximately \(10.7639ft^2\).
How many square feet are in one acre?
One acre equals \(43{,}560ft^2\).
How many hectares are in one square kilometer?
One square kilometer equals \(100\) hectares.
Why is area conversion squared?
Area has two dimensions, so length conversion factors are squared. For example, \(1m=100cm\), but \(1m^2=10{,}000cm^2\).
Can I convert bigha to acres?
Yes, but bigha varies by region. The calculator uses a practical default, but legal land work should use the official local definition.
Can this tool calculate shape area?
Yes. It includes square, rectangle, triangle, circle, trapezoid, parallelogram, and ellipse area formulas.
Is area the same as volume?
No. Area measures two-dimensional surface. Volume measures three-dimensional space.
Suggested internal links: length converter, volume converter, square feet calculator, acres to hectares converter, land area converter, circle area calculator, rectangle area calculator, triangle area calculator, surface area calculator, and geometry calculators.