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29 April, 15:28

You can estimate a tree's age in years by using the formula a = r w, where r is the tree's radius without bark and w is the average thickness of the tree's rings. the circumference of a white oak tree is 90 inches. the bark is 0.5 in. thick, and the average thickness of a ring is 0.2 in. estimate the tree's age and the area enclosed by the outer circumference of the widest ring.

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  1. 29 April, 16:44
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    Circumference of a white oak tree:

    C = 90 in.

    C = 2 r π

    2 r π = 90

    r · 6.28 = 90

    r = 90 : 6.28

    r = 14.33 in (but it is not r in the formula)

    Since the bark is 0.5 in thick: r = 14.33 - 0.5 = 13.83 in

    a = r : w = 13.83 : 0.2 = 69.15 years

    The widest ring is one that shows 69 years:

    r = 69 · 0.2 = 13.8 in

    A = r² π = 13.8² · 3.14 = 190.44 · 3.14 = 597.98 in²

    Answer: The tree's age is 69.15 years (or 69 years and 2 months) and the area enclosed by the outer circumference of the widest ring is 597.98 in².
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