The area of the tree's first growth ring, based on the calculated radius of 0.75 centimeters, is approximately 1.77 square centimeters.
How to solve
Given:
Diameter of the tree's first growth = 1.5 centimeters
Radius of the growth ring = 0.75 centimeters
The formula for the area of a circle is A = πr², where 'r' is the radius of the circle.
Radius of the growth ring = 0.75 cm
Area of the growth ring = π x (0.75 cm)²
Area of the growth ring = π x 0.5625 cm²
Area of the growth ring ≈ 1.77 cm² (rounded to two decimal places)
Therefore, the area of the tree's first growth ring, based on the calculated radius of 0.75 centimeters, is approximately 1.77 square centimeters.
The Complete Question
Given that a scientist measures the diameter of a tree's first growth as 1.5 centimeters, calculate the area of the tree's first growth ring based on the calculated radius of 0.75 centimeters. Show the step-by-step process of finding the area of the growth ring