Lumber from Trees
You have an 8-foot section of a tree, that has been debarked. The tree has a diameter of 3 feet. How many 2x4's can you cut from this tree?
Solve this by making a carefully-measured drawing, or through mathematical reasoning.
Optional variations: Do this for 2x6's, and 2x8's as well.
Algebraic variation: Do this for a tree of radius r, and boards of size 2 by x.
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