Math Problem Statement

What is the circumference of this circle? Use 3.14 for π. The circle has a diameter of 12 cm.

Solution

To calculate the circumference of the circle given in the problem:

The formula for the circumference of a circle is:

C=π×dC = \pi \times d

Where:

  • dd is the diameter of the circle.

Given:

d=12cm,π=3.14d = 12 \, \text{cm}, \, \pi = 3.14

Substitute the values into the formula:

C=3.14×12=37.68cmC = 3.14 \times 12 = 37.68 \, \text{cm}

Final Answer:

The circumference of the circle is 37.68 cm.

Let me know if you want a detailed explanation of the steps!


Here are some related questions for you to explore:

  1. What is the relationship between the radius and the diameter of a circle?
  2. How would the circumference change if the diameter was doubled?
  3. What is the formula for the area of a circle, and how is it related to the diameter?
  4. How can you calculate the radius if only the circumference is given?
  5. Why is π\pi an important constant in circles, and how is it defined?

Tip: Remember, the diameter of a circle is always twice the radius!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference

Formulas

Circumference = π × diameter

Theorems

Relationship between circumference, diameter, and π

Suitable Grade Level

Grades 5-7