Basal Area Per Acre Calculator

Calculate Basal Area Per Acre



Formula

The formula to calculate the Basal Area Per Acre is:

\[ \text{BA} = \left(\frac{\pi \cdot \left(\frac{\text{DBH}}{2}\right)^2}{144}\right) \cdot N \]

Where:

Example

Let's say the diameter at breast height (DBH) is 12 inches and the number of trees per acre (N) is 100. The basal area per acre would be calculated as follows:

\[ \text{BA} = \left(\frac{\pi \cdot \left(\frac{12}{2}\right)^2}{144}\right) \cdot 100 \approx 78.54 \text{ square feet} \]

So, the basal area per acre is approximately 78.54 square feet.

What is Basal Area?

Basal area is a term used in forestry to describe the cross-sectional area of a tree trunk at breast height (4.5 feet above ground) per acre of forest. It is a measure of the density of trees on a plot and is used to estimate the volume of timber in a forest and to plan for sustainable forest management.

Extended information about " Basal-Area-Per-Acre-Calculator "

How to Calculate Basal Area per Hectare

Definition: This calculator estimates the basal area per hectare based on the diameter of trees and the number of trees per hectare.

Formula: \( \text{Basal Area per Hectare} = \frac{\pi \times (\text{DBH}/2)^2 \times \text{Number of Trees}}{10000} \)

Example: \( \text{Basal Area per Hectare} = \frac{\pi \times (30/2)^2 \times 100}{10000} \)

Basal Area Calculation Formula

Definition: This formula calculates the basal area of a single tree based on its diameter at breast height (DBH).

Formula: \( \text{Basal Area} = \pi \times \left( \frac{\text{DBH}}{2} \right)^2 \)

Example: \( \text{Basal Area} = \pi \times \left( \frac{25}{2} \right)^2 \)

Calculate Basal Area per Tree

Definition: This formula calculates the basal area of a single tree based on its diameter at breast height (DBH).

Formula: \( \text{Basal Area} = \pi \times \left( \frac{\text{DBH}}{2} \right)^2 \)

Example: \( \text{Basal Area} = \pi \times \left( \frac{20}{2} \right)^2 \)

Basal Area Formula in Square Feet

Definition: This formula calculates the basal area of a single tree in square feet based on its diameter at breast height (DBH).

Formula: \( \text{Basal Area} = \pi \times \left( \frac{\text{DBH}}{2} \right)^2 \times 0.092903 \)

Example: \( \text{Basal Area} = \pi \times \left( \frac{10}{2} \right)^2 \times 0.092903 \)

Basal Area per Tree

Definition: This formula calculates the basal area of a single tree based on its diameter at breast height (DBH).

Formula: \( \text{Basal Area} = \pi \times \left( \frac{\text{DBH}}{2} \right)^2 \)

Example: \( \text{Basal Area} = \pi \times \left( \frac{15}{2} \right)^2 \)