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# How do you calculate the root protection area of a TPO beech

### Customer Question

how do you calculate the root protection area of a TPO beech tree with a trunk circumference of 2.65 metres?
Submitted: 7 months ago.
Category: General
Expert:  Chris Miller replied 7 months ago.

Hello, and thanks for the question.

Circumference = Pi × diameter, or Diameter = Circumference / Pi (approx. 3.14159)
For a trunk circumference of 2.65 metres, the diameter would be approx. 0.84352m = 843.52mm

For an individual open‐grown Beech tree in satisfactory condition of 843.52mm trunk diameter, the basic calculation of RPA is as follows:
12 x 843.52mm = 10122.24mm = 10.12m radius of RPV

For the area in square metres, the calculation would be:
10.12m^2 * 3.14159 = 321.74 sq. metres

Hope this helps!

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