Math Problem Statement

The radius of a circle measures

6ft

. What is the circumference of the circle?

Use

3.14

for

π

, and do not round your answer. Be sure to include the correct unit in your answer.

Solution

To find the circumference of a circle, the formula is:

C=2πrC = 2 \pi r

Where:

  • CC is the circumference,
  • π\pi is approximately 3.14,
  • rr is the radius of the circle.

Given that the radius rr is 6 feet, we can substitute into the formula:

C=2×3.14×6C = 2 \times 3.14 \times 6

Calculating:

C=37.68 feetC = 37.68 \text{ feet}

Thus, the circumference of the circle is 37.68 feet.

Would you like further details or explanations?

Here are five related questions:

  1. What is the area of the circle with a radius of 6 feet?
  2. How does the circumference change if the radius is doubled?
  3. How can we find the diameter of the circle, and how does it relate to the circumference?
  4. What would the circumference be if we used a more precise value of π\pi?
  5. How does the formula for the circumference of a circle compare to the formula for the perimeter of other shapes?

Tip: Remember that the diameter of a circle is always twice the radius!

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Math Problem Analysis

Mathematical Concepts

Geometry
Circumference of a Circle

Formulas

Circumference formula: C = 2πr

Theorems

The circumference theorem states that the circumference of a circle is proportional to its radius, with the constant of proportionality being 2π.

Suitable Grade Level

Grades 6-8