What is the radius of a tree trunk with a circumference of 43.96 inches?

What is the relationship between the circumference and the radius of a circle? How can we calculate the radius of a tree trunk if the circumference is given?

The circumference of a circle is the distance around the circle, while the radius is the distance from the center to any point on the circle. The relationship between the circumference and the radius of a circle can be expressed by the formula: Circumference = 2 x π x radius. To calculate the radius of a tree trunk with a given circumference, we can rearrange the formula as: Radius = Circumference / (2 x π). Plugging in the values from the data given: Circumference = 43.96 inches, Radius = 43.96 / (2 x 3.14159) ≈ 7 inches. Therefore, the radius of a tree trunk with a circumference of 43.96 inches is approximately 7 inches.

Understanding Circumference and Radius Relationship

Circumference: The circumference of a circle is the linear distance around the circle. It is found by adding up the lengths of all the sides of the circle. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Radius: The radius of a circle is the distance from the center of the circle to any point on the circle. It is half the diameter of the circle. The formula to calculate the radius of a circle is r = C / (2π), where r is the radius and C is the circumference. Calculation Example: Given that the circumference of the tree trunk is 43.96 inches, we can calculate the radius using the formula: Radius = Circumference / (2 x π). Plugging in the values: Radius = 43.96 / (2 x 3.14159) Radius ≈ 7 inches. Therefore, the radius of the tree trunk is approximately 7 inches based on the given circumference.
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