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Area Converter

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Area Unit Conversion Formulas

Below are the main formulas used to convert between different area measurement units. These equivalences are essential for calculating surface area in both the metric and imperial systems.

  • 1 square kilometer (km²) = 100 hectares (ha)
  • 1 hectare (ha) = 10,000 square meters (m²)
  • 1 square foot (ft²) = 0.09290304 square meters (m²)
  • 1 square yard (yd²) = 0.83612736 square meters (m²)
  • 1 acre (ac) = 4,046.85642 square meters (m²)
  • 1 square mile (mi²) = 2.58998811 square kilometers (km²)
  • 1 square inch (in²) = 0.00064516 square meters (m²)
  • 1 square centimeter (cm²) = 0.0001 square meters (m²)

Practical Examples of Area Unit Conversion

Below are detailed examples of how to convert between different area measurement units. These conversions will help you better understand the equivalences between the metric and imperial systems, and correctly apply the formulas in real-world situations.

  • From square kilometers to hectares: To convert 25 km² to hectares, multiply 25 × 100 = 2,500 hectares.
  • From hectares to square meters: To convert 2.5 ha to m², multiply 2.5 × 10,000 = 25,000 square meters.
  • From square feet to square meters: To convert 50 ft² to m², multiply 50 × 0.09290304 = 4.645152 square meters.
  • From square yards to square meters: To convert 12 yd² to m², multiply 12 × 0.83612736 = 9.93352 square meters.
  • From acres to square meters: To convert 5 ac to m², multiply 5 × 4046.85642 = 20,234.2821 square meters.
  • From square miles to square kilometers: To convert 0.5 mi² to km², multiply 0.5 × 2.58998811 = 1.29499405 square kilometers.
  • From square inches to square meters: To convert 500 in² to m², multiply 500 × 0.00064516 = 0.32258 square meters.
  • From square centimeters to square meters: To convert 10,000 cm² to m², multiply 10,000 × 0.0001 = 1 square meter.

Frequently Asked Questions

What is area?

Area is a measure of the extent of a surface in two dimensions. It is usually expressed in square units such as square meters (m²) or square feet (ft²).

What is the difference between area and perimeter?

Area measures the internal surface of a shape, while perimeter is the total length of its edges. For example, the area of a square is side × side, and its perimeter is 4 × side.

What units are used to measure area?

Common units include square meter (m²), square kilometer (km²), hectare (ha), square foot (ft²), square yard (yd²), and acre (ac), among others.

What is a hectare?

A hectare is a unit of area equal to 10,000 square meters. It is commonly used to measure agricultural land or large surface areas.

What is the relationship between square meter and square kilometer?

One square kilometer equals 1,000,000 square meters (1 km² = 1,000,000 m²), since 1 km = 1,000 m and the measurement is two-dimensional.

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