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Basal Area per Hectare Calculator

Find the cross-sectional area of tree trunks per hectare from tree count and diameter.

Inputs

Results

Basal area14.72622m²/ha
Basal area per tree0.04908739m²

Chart

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Describe what you want to find — “basal area forest” — and jump to the right calculator.

How to use the basal area per hectare calculator

Find the cross-sectional area of tree trunks per hectare from tree count and diameter. Enter trees per hectare, mean diameter at breast height in the fields above; the basal area, basal area per tree are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “basal area forest”, “tree basal area”, “forest density measure”, “calculate basal area per hectare”, “find basal area”.

Formula

Basal area (m²/ha) = N × π × (d / 200)^2
Basal area per tree (m²) = π × (d / 200)^2

Variables

  • N — Trees per hectare
  • d — Mean diameter at breast height (cm)

Worked example

With trees per hectare = 300, mean diameter at breast height = 25 cm, the calculator gives basal area ≈ 14.72622 m²/ha; basal area per tree ≈ 0.04908739 m².

Frequently asked questions

What is the basal area per hectare calculator used for?

Find the cross-sectional area of tree trunks per hectare from tree count and diameter. It helps with questions such as “basal area forest”, “tree basal area”, “forest density measure”.

What is the formula for the basal area per hectare calculation?

Basal area (m²/ha) = N × π × (d / 200)^2. Basal area per tree (m²) = π × (d / 200)^2. Here N is trees per hectare, d is mean diameter at breast height (cm).

What inputs do I need for the basal area per hectare calculator?

You need trees per hectare, mean diameter at breast height in cm. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the basal area per hectare calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the basal area per hectare result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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