Math Problem Statement

Dillon has a round trampoline with a diameter of 4 yards. What is the trampoline's circumference?

Use 3.14 for ​𝜋. If necessary, round your answer to the nearest hundredth.

Solution

The formula to calculate the circumference CC of a circle is:

C=π×dC = \pi \times d

Where dd is the diameter of the circle.

Given:

  • Diameter d=4d = 4 yards
  • π=3.14\pi = 3.14

Now, calculate the circumference:

C=3.14×4=12.56yardsC = 3.14 \times 4 = 12.56 \, \text{yards}

Thus, the circumference of Dillon's trampoline is 12.5612.56 yards.

Would you like further details or have any questions?

Here are 5 related questions:

  1. What is the radius of the trampoline?
  2. How would the circumference change if the diameter was doubled?
  3. What is the area of the trampoline?
  4. How does the circumference formula relate to the area of a circle?
  5. How would the result differ if you used a more accurate value for π\pi?

Tip: Always use the radius or diameter when solving problems involving circles. The radius is half of the diameter.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference

Formulas

Circumference of a circle C = π × d

Theorems

The Circumference Theorem (Circumference is proportional to diameter in a circle)

Suitable Grade Level

Grades 5-7