Math Problem Statement

solve

The diameter of a circle measures 24 yd. What is the circumference of the circle? Use 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.

Solution

The problem asks to find the circumference of a circle, given that the diameter is 24 yards. The formula for the circumference CC of a circle is:

C=π×dC = \pi \times d

where dd is the diameter of the circle. Given:

  • Diameter d=24ydd = 24 \, \text{yd}
  • Use π3.14\pi \approx 3.14

Now, we substitute the values into the formula:

C=3.14×24=75.36ydC = 3.14 \times 24 = 75.36 \, \text{yd}

So, the circumference of the circle is 75.36 yards.

Would you like further details or have any other questions?

Here are 5 related questions to explore further:

  1. What is the formula for the area of a circle?
  2. How does the circumference change if the diameter is doubled?
  3. If the radius is given instead of the diameter, how would you calculate the circumference?
  4. What is the relationship between the diameter and the radius of a circle?
  5. How would you calculate the diameter if the circumference was given instead?

Tip: Remember, the diameter is always twice the radius, and circumference formulas can use either the radius or diameter.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Measurement

Formulas

C = π × d

Theorems

Circumference of a Circle

Suitable Grade Level

Grade 6-8