Math Problem Statement

What is the circumference of a circle with a diameter of 14 meters? a. 28 meters b. 21.98 meters c. 43.96 meters d. 56 meters

Solution

To find the circumference CC of a circle, you can use the formula:

C=π×dC = \pi \times d

where:

  • CC is the circumference,
  • π\pi is approximately 3.1416, and
  • dd is the diameter of the circle.

Given that the diameter dd is 14 meters, we can substitute into the formula:

C=3.1416×14=43.982metersC = 3.1416 \times 14 = 43.982 \, \text{meters}

Rounding this to two decimal places, the circumference is approximately 43.96 meters.

Therefore, the correct answer is:

c. 43.96 meters

Would you like more details on this solution, or do you have any further questions?


Related questions:

  1. What is the area of a circle with the same diameter?
  2. How does the circumference change if the diameter is doubled?
  3. How is the radius related to the diameter in a circle?
  4. What are the units for measuring the circumference of a circle?
  5. What happens to the circumference if the radius is halved?

Tip: When calculating the circumference, it's essential to remember that the formula involves π\pi and the diameter, so it’s not necessary to have the radius for this specific problem.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

C = π × d

Theorems

The relationship between circumference and diameter

Suitable Grade Level

Grades 6-8