Trees per Acre from Plot Size

Calculate the number of trees per acre from the size of the plot, and the number of trees within this plot.

Example Calculation

The plot size equals one-tenth of an acre and there are 12 trees within this plot.

Finding the area and radius of this plot

First calculate the area of the plot.
There are 43560 square feet in one acre.
divide this amount by the size of the plot

43560 ÷ 10 = 4356

The area of this plot is 4356 square feet

Calculate the radius of this plot

The basic formula for an area of a circle is A = πr².
to get the radius start of with dividing the plot area by π

4356 ÷ 3.14 = 1387 

next find the square root of this amount

√1387 = 37.2

The radius of this plot is 37.2 feet

Finding the number of trees per acre

A fairly simple process if you base this on one plot.
if the plot size is one-tenth of an acre then multiply the number of trees by 10 to get the number of trees per acre

12 * 10 = 120

Based on the number of trees in this plot then there are 120 trees per acre

The spacing of the trees

to find the spacing of the trees divide the square footage of an acre by the number of trees

43560 ÷ 120 = 363 

take the square root of this amount

√363 =  19.1 

The spacing of the trees equals 19 x 19 feet

Calculation

1. enter the size of the plot in parts of an acre
2. the number of trees inside the plot

Result

1. the radius of the plot
2. number of trees per acre
3. the spacing of the trees