Math Problem Statement

A circle has a diameter of 12 m. What is its circumference? Use 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.

Solution

To find the circumference of the circle given a diameter of 12m12 \, \text{m}, we use the formula for circumference:

C=πdC = \pi \cdot d

Where:

  • CC is the circumference,
  • π=3.14\pi = 3.14,
  • d=12md = 12 \, \text{m}.

Now substituting the values:

C=3.1412C = 3.14 \cdot 12

C=37.68mC = 37.68 \, \text{m}

The circumference of the circle is 37.68 m.

Let me know if you'd like a step-by-step breakdown or further clarification.


Here are 5 related questions:

  1. How is the circumference formula derived from the circle's properties?
  2. What is the area of a circle with the same diameter?
  3. If the diameter is doubled, how does the circumference change?
  4. Can you calculate the radius of a circle when given the circumference?
  5. What is the difference between diameter and radius, and how do they relate to the circle's geometry?

Tip: Remember, the diameter is always twice the radius, so you can easily switch between them depending on the problem's requirement!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circle properties
Circumference calculation

Formulas

Circumference formula: C = π × d

Theorems

Relationship between diameter, radius, and circumference

Suitable Grade Level

Grades 6-8