Math Problem Statement

What is the circumference of the tree's ring if the diameter is 8 inches?

Solution

The question asks for the circumference of a circle, given the diameter d=8in.d = 8 \, \text{in.}.

Formula for Circumference:

C=πdC = \pi \cdot d

Substituting d=8d = 8:

C=π8=8πin.C = \pi \cdot 8 = 8\pi \, \text{in.}

Answer:

The circumference of the tree's ring is: 8πin.\boxed{8\pi \, \text{in.}}

Would you like a breakdown of the steps or have any questions?


Here are 5 related questions to expand your understanding:

  1. What is the formula for the circumference in terms of the radius?
  2. If the radius was given instead of the diameter, how would you calculate the circumference?
  3. How does the value of π\pi affect the circumference of a circle?
  4. What is the relationship between the diameter and the radius of a circle?
  5. How can you approximate the circumference using π3.14\pi \approx 3.14?

Tip: Always double-check whether you're working with the diameter or the radius when solving circle-related problems.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle Properties

Formulas

Circumference formula: C = π × d

Theorems

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Suitable Grade Level

Grade 7