Math Problem Statement

What is the circumference of a circle with a diameter of 14 meters?

Solution

To solve the problem in the image:

The formula for the circumference CC of a circle is:

C=πdC = \pi \cdot d

Where:

  • π3.14\pi \approx 3.14 (as stated in the question),
  • d=14md = 14 \, \text{m} (the diameter given in the question).

Substitute π\pi and dd into the formula:

C=3.1414C = 3.14 \cdot 14

Perform the multiplication:

C=43.96mC = 43.96 \, \text{m}

Final Answer:

The circumference of the circle is 43.96 meters.


Would you like more explanation or details on the formula used?

Here are 5 related questions for further exploration:

  1. What is the relationship between the diameter and radius of a circle?
  2. How would the circumference change if the diameter were doubled?
  3. How is the area of a circle calculated, and what is its formula?
  4. Why is π\pi always used when calculating properties of circles?
  5. Can you derive the circumference formula using the radius instead of the diameter?

Tip: Always use the formula C=2πrC = 2 \pi r if the radius, instead of diameter, is given!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle
Pi

Formulas

C = π * d

Theorems

Circumference formula for a circle

Suitable Grade Level

Grades 6-8