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Units of area

Measurement

Japanese school year: Elementary 4

What you learn

Learn various area units, from square centimeters and square meters to ares and hectares. These units are necessary for describing the size of rooms, gardens, and larger land areas. Prior understanding of length unit conversions and mastery of large number multiplication will provide a solid foundation.

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Key points

This formula is used to convert area units between square meters and square centimeters. Since it is the area of a square with 1 m1\,\mathrm{m} (100 cm100\,\mathrm{cm}) sides, calculating 100×100100 \times 100 gives 10000 cm210000\,\mathrm{cm}^2.

1 m2=10000 cm21\,\mathrm{m}^2 = 10000\,\mathrm{cm}^2

This formula is used to convert land area from ares (a\mathrm{a}) to square meters. 1 a1\,\mathrm{a} is the area of a square with 10 m10\,\mathrm{m} sides, which equals 100 m2100\,\mathrm{m}^2.

1 a=100 m21\,\mathrm{a} = 100\,\mathrm{m}^2

This formula is used to convert large land area from hectares (ha\mathrm{ha}) to ares (a\mathrm{a}). 1 ha1\,\mathrm{ha} is the area of a square with 100 m100\,\mathrm{m} sides, equal to 100 a100\,\mathrm{a} (10000 m210000\,\mathrm{m}^2).

1 ha=100 a1\,\mathrm{ha} = 100\,\mathrm{a}

This formula is used to convert very large land areas between square kilometers and hectares. Representing the area of a square with 1 km1\,\mathrm{km} sides, 1 km21\,\mathrm{km}^2 equals 100 ha100\,\mathrm{ha}.

1 km2=100 ha1\,\mathrm{km}^2 = 100\,\mathrm{ha}

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