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Tree Basal Area Calculator

DBH

Result

Basal Area (per tree) m²0.0707
Basal Area (per tree) cm²706.8583
↗ Ecology

Tree Basal Area Calculator Calculate the basal area of a tree from its diameter at breast height (DBH). Basal area is the cross-sectional area of the trunk at 1.3 m (4.5 ft) above ground, and it's a key measure in forestry for stand density and growth. Op — free online calculator.

Formula

BA per tree (m²) = π × (DBH_cm / 200)²; BA per hectare = BA per tree × trees/ha
  • Tree basal area calculator. This page states the geometric relationship used by the calculator and provides a worked example.
  • The main inputs are Diameter at Breast Height, Trees per Hectare. Enter them in the units and format shown in the calculator.
  • Use the units, labels and assumptions shown beside each input so the formula is applied consistently.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Tree Basal Area

Inputs
  • Diameter at Breast Height: 30 DBH
  • Trees per Hectare: 0

For DBH = 40 cm, basal area = π × 20² ≈ 1,256.64 cm².

Sample result: Calculating…

Frequently asked questions

What does the Tree Basal Area calculate?

DBH and the resulting area must use consistent units; this is the cross-sectional area of the stem.

Which values should I enter?

Enter Diameter at Breast Height, Trees per Hectare using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: BA per tree (m²) = π × (DBH_cm / 200)²; BA per hectare = BA per tree × trees/ha.

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026