Math Problem Statement

Find the circumference of a circle with a radius of 7 inches using 3.14 for the value of π.

Solution

The problem in your image is asking to find the circumference of a circle with a radius of 7 inches. The formula for the circumference CC of a circle is given by:

C=2πrC = 2 \pi r

Where:

  • rr is the radius of the circle,
  • π\pi is approximated as 3.14 (as per the problem instructions).

Now, substituting the given radius r=7r = 7 inches:

C=2×3.14×7=43.96inchesC = 2 \times 3.14 \times 7 = 43.96 \, \text{inches}

The correct answer is 43.96inches43.96 \, \text{inches}, which matches the first option in your choices.

Would you like further details or explanations? Here are some related questions to expand on this:

  1. What is the relationship between the diameter and circumference of a circle?
  2. How would the circumference change if the radius were doubled?
  3. Can you use the circumference formula to find the radius if the circumference is known?
  4. How does the value of π\pi affect the accuracy of the circumference calculation?
  5. What are some real-world applications of calculating the circumference of a circle?

Tip: Always double-check units to ensure the correct final answer!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle
Circumference

Formulas

Circumference formula: C = 2πr

Theorems

Relationship between circumference and radius in circles

Suitable Grade Level

Grades 6-8