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Oaklee loves pi

Oaklee loves pi

Oaklee jumping in City

Time for another edition of Oaklee Does Math for Pie! Actually, it’s pi day so we’ve enlisted everyone’s favorite squirrel to teach you a bit more about how to use pi to estimate the age of a tree.

For this exercise, you’ll need a tree (forest grown trees work best – trees out in the open grow at different rates depending on site conditions), measuring tape, and a calculator.

Step 1: Identify your tree and find it on the list (below).

Step 2: Measure up to 54 inches from the ground (4 1/2 feet). This is Diameter Breast Height, or DBH.

Step 3: Measure around the tree at DBH to find the circumference in inches.

Step 4: Divide the circumference by the mathematical pi π (3.14). This will give you the tree’s diameter (we learned that last year, remember?).

Step 5: Multiply the diameter by the growth rate number listed next to your tree species in the chart. This will give you the approximate age of your tree! For example, a white oak with a circumference of 126 inches would have a diameter of about 40 inches. Multiply that by the white oak’s growth factor of 5, and you’ll find your white oak is approximately 200 years old.

C/π=d, where C is circumference and d is diameter
d*gr=age, where d is diameter and gr is growth rate number

Growth Rate

American beech 6 Norway spruce 5
American elm 4 Pin oak 3
American sycamore 4 Redbud 7
Austrian pine 4.5 Red maple 4.5
Black cherry 5 Red pine 5.5
Black maple 5 River birch 3.5
Black walnut 4.5 Scarlet oak 4
Bradford pear 3 Scotch pine 3.5
Common horsechestnut 8 Shagbark hickory 7.5
Colorado blue spruce 4.5 Shingle oak 6
Cottonwood 2 Shumard oak 3
Douglas fir 5 Silver maple 3
European beech 4 Sugar maple 5.5
European white birch 5 Sweet gum 5.5
Green ash 4 Tulip tree 3
Ironwood 7 White ash 5
Kentucky coffee tree 3 White fir 7.5
Littleleaf linden 3 White oak 5
Northern red oak 4 White pine 5
Norway maple 4.5 Yellow buckeye 5