Math Problem Statement

The radius of a circle measures 4 ft. What is the circumference of the circle? Use 3.14 for π, and do not round your answer.

Solution

To find the circumference of the circle, we can use the formula:

C=2πrC = 2\pi r

where:

  • CC is the circumference,
  • π3.14\pi \approx 3.14 (as given),
  • rr is the radius of the circle, which is 4 feet.

Now let's calculate the circumference:

C=2×3.14×4C = 2 \times 3.14 \times 4

I'll compute this for you.The circumference of the circle is 25.12ft25.12 \, \text{ft}.

Would you like further details or have any questions?

Here are five related questions for further exploration:

  1. How would the circumference change if the radius were doubled?
  2. What is the formula for the area of the same circle?
  3. How is the circumference formula derived from the properties of a circle?
  4. How can you calculate the diameter of a circle if only the circumference is known?
  5. What is the difference between the circumference and perimeter?

Tip: Remember, the diameter dd of a circle is twice the radius, and the circumference can also be calculated as C=πdC = \pi d.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

C = 2πr

Theorems

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Suitable Grade Level

Grades 6-8