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Tree Diameter Calculator

Age factors are editable rough assumptions, not measured tree ages.

Measurement Inputs

Calculation Mode

Changing units preserves the measurement; changing standard does not remeasure the tree.

Species & Age Estimate

years per inch of DBH

Age ≈ DBH(inches) × factor.
Soil, climate, competition and health can strongly change growth.

Measure outside bark.

Use the uphill ground reference on sloping terrain.

Recorded standard: 4.5 ft (1.3716 m).

DBH & Trunk Geometry

Diameter at Breast Height (DBH)
—Circular approximation
—
Basal Area / Tree——
Estimated Age——
Trunk Radius——

Trunk Cross-Section

Circular approximation at the recorded measurement height—Radius—

Schematic only • auto-fit, not physical scale. Rings are decorative, not age counts.

Circumference: —Radius: —

Formula & Worked Example

DBH = C ÷ πDiameter from circumference

Basal area = π × (DBH ÷ 2)²Circular area at the measurement height

Approximate age = DBH(in) × factorRough age heuristic

—Calculations use unrounded values; output values are rounded for readability.

Frequently Asked Questions

Is 1.30 m the same as 4.5 ft?

No. 4.5 ft equals 1.3716 m, while a metric breast-height convention uses 1.30 m. The chosen standard records where you measured. Unit switching converts the existing length; changing the standard cannot remeasure the tree or correct for taper.

How reliable is the age estimate?

Diameter × growth factor is a rough educational heuristic. Climate, soil, competition, tree condition and site history can strongly change diameter growth. The preset factors are assumptions, not validated site-specific growth models or uncertainty bounds. NIST describes ring analysis and cross-dating for age measurement. The rings in this diagram are decorative.

What about forks or irregular trunks?

Follow the measurement rules of your inventory protocol. US Forest Service guidance handles stems forked below breast height separately and adjusts the measurement position around swellings. For an irregular or elliptical section, circumference ÷ π is a circular-equivalent diameter; the calculated circular area need not equal the true area.

Can basal area predict timber or carbon?

Not on its own. This result is one stem’s circular area at the recorded height, not stump area, wood volume, stand basal area per hectare/acre or stored carbon. Volume and carbon models need additional data such as height, species, form, density and appropriate model assumptions.

What does the Tree Diameter calculator calculate?

DBH from circumference or circumference from DBH, radius and circular basal area per tree. Optional age is a separate growth-factor heuristic. Geometry stays the same when you change species or the age factor.

Which values should I enter?

Enter a circumference measured with a normal tape or a diameter measured directly, in inches or centimetres. A diameter tape already reads diameter, so use DBH input mode for that reading. Select the height standard actually used and, if desired, an age-factor assumption.

What formula does this calculator use?

Diameter = circumference ÷ π; circumference = π × diameter; radius = diameter ÷ 2; basal area = π × radius². Age approximation = diameter in inches × factor in years per inch. The conversion is 1 in = 2.54 cm.

Why might my result differ from another source?

Measurement height, outside-bark conventions, trunk irregularity, units and display rounding can all matter. Age factors are rough assumptions and may differ between educational tables; one factor is not an accurate universal age model.

Does the result update automatically?

Yes. Mode changes convert between circumference and diameter while preserving the same circular geometry; unit changes preserve physical size. Species and factor changes affect age only. The measurement-height standard changes the recorded context, not your measured length.

Where do the example age factors come from?

Educational factor tables use white oak 5.0 and red maple 4.5 years per inch; one worksheet lists red pine 5.5. These are editable teaching assumptions, not an endorsement or a field-calibrated prediction. The William & Mary teaching notes and the WQED Age of a Tree worksheet provide context. Select No age estimate to omit this heuristic.

Additional Resources

WQED — Age of a Tree worksheet • US Forest Service — Field measurement protocol

↗ Biology

Tree Diameter Calculator Calculate a tree's diameter at breast height (DBH) from its trunk circumference, or vice versa. — free online calculator.

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Updated: October 7, 2026