Question

Forest rangers estimate the age of trees by dividing a tree's radius by its average ring width, which represents a year's worth of growth. If an oak tree has a circumference of 151 inches and an average ring width of inch, approximately how old is the tree to the nearest whole year? Use 3.14 for T.​

Answer 1

To estimate the age of the tree, divide the radius (found using the known circumference) by the average ring width. With a circumference of 151 inches and an average ring width of 0.5 inches, the oak tree is estimated to be around 48 years old.

Step-by-step explanation:

The question asks how to estimate the age of a tree using its circumference and the width of its growth rings. To find the radius, we first need to use the circumference, which is given as 151 inches. The formula for the circumference (C) of a circle is C = 2πr, where r is the radius and π (pi) is approximately 3.14. To find the radius, we rearrange the formula to r = C / (2π). Using the given circumference, r = 151 / (2 × 3.14), which equals approximately 24 inches. Once we have the radius, we divide it by the average ring width. For an oak tree with an average ring width of half an inch, this would calculate the age as 24 inches (radius) / 0.5 inches (ring width), resulting in an estimated age of approximately 48 years.

Answer 2

To find the age of a tree, the forest rangers divide the tree's radius by its average ring width. To calculate the radius of the oak tree with a circumference of 151 inches, we first need to divide the circumference by 3.14, which gives us a radius of 151 / 3.14 = <<151/3.14=48.05>>48.05 inches.

If the average ring width of the tree is inch, then the tree's age can be calculated by dividing its radius by the average ring width, which gives us a result of 48.05 / 0.15 = <<48.05/0.15=320.33>>320.33 years.

Rounded to the nearest whole year, the oak tree is approximately 320 years old.

Step-by-step explanation: