Area, volume and surface area
Using hectares
Square metres are fine for a room, hopeless for a farm. A hectare is a square of side 100 m — roughly two football pitches — and it is how land is measured.
What a hectare is
A HECTARE is the area of a square field with sides of 100 metres. Its abbreviation is ha. 100 × 100 = 10 000 1 hectare (ha) = 10 000 m² A football pitch is about half a hectare, which gives you something to picture.
Converting both ways
Hectares → square metres: MULTIPLY by 10 000. 2.4 ha = 2.4 × 10 000 = 24 000 m² Square metres → hectares: DIVIDE by 10 000. 125 000 m² = 125 000 ÷ 10 000 = 12.5 ha Hectares are the bigger unit, so there are always fewer of them.
Land problems in three steps
A rectangular field measures 850 m by 1.4 km. What is its area in hectares? 1. Get both sides into the same unit: 1.4 km = 1400 m. 2. Find the area in m²: 850 × 1400 = 1 190 000 m². 3. Convert to hectares: 1 190 000 ÷ 10 000 = 119 ha. Always convert the lengths BEFORE you multiply. Mixing metres and kilometres in one multiplication gives nonsense.
Worked examples
2.4 ha in square metres
- Multiply by 10 000.
- 2.4 × 10 000 = 24 000.
Answer: 24 000 m²
125 000 m² in hectares
- Divide by 10 000.
- 125 000 ÷ 10 000 = 12.5.
Answer: 12.5 ha
A field 850 m by 1.4 km, in hectares
- 1.4 km = 1400 m.
- 850 × 1400 = 1 190 000 m².
- 1 190 000 ÷ 10 000 = 119.
Answer: 119 ha
Why is 1 ha = 10 000 m²?
- A hectare is a square of side 100 m.
- 100 × 100 = 10 000.
Answer: Because 100 × 100 = 10 000
A square field of side 300 m, in hectares
- 300 × 300 = 90 000 m².
- 90 000 ÷ 10 000 = 9.
Answer: 9 ha
Half a hectare in square metres
- 1 ha = 10 000 m².
- 10 000 ÷ 2 = 5000.
Answer: 5000 m² — about a football pitch
Where you see this in real life
- Farms are advertised in hectares, because the number stays small enough to compare at a glance.
- Reports on deforestation count hectares lost per year, so different countries can be compared on one scale.
Key words
- Hectare
- the area of a 100 m square, 10 000 m², written ha
- Square metre
- the area of a 1 m square, written m²
- Convert
- change a measurement into different units
- Land area
- the ground a field or plot covers