Math Problem Statement

While running for class president, Wesley handed out a campaign button. The button has a diameter of 8 centimeters. What is the button's circumference? Use 3.14 for π. If necessary, round your answer to the nearest hundredth.

Solution

To find the circumference of the button with a diameter of 8 centimeters, we use the formula:

Circumference=π×diameter\text{Circumference} = \pi \times \text{diameter}

Given:

  • Diameter = 8 cm
  • π3.14\pi \approx 3.14

Substitute the values:

Circumference=3.14×8=25.12cm\text{Circumference} = 3.14 \times 8 = 25.12 \, \text{cm}

So, the circumference of the button is 25.12 centimeters.

Would you like more details or have any questions?


Here are some related questions to explore this concept further:

  1. How would the circumference change if the diameter was doubled?
  2. What is the formula for finding the circumference if only the radius is known?
  3. Why is π\pi approximately equal to 3.14?
  4. How does the value of π\pi impact calculations involving circles?
  5. Can circumference be measured directly, or is it always calculated?

Tip: Remember, diameter is always twice the radius, so you can find one if you know the other!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

Circumference = π × diameter

Theorems

Circle circumference formula

Suitable Grade Level

Grades 5-7