Math Problem Statement

The radius of a circle is 12 ft. Find its circumference in terms of piπ.

Solution

The circumference CC of a circle is given by the formula:

C=2πrC = 2\pi r

where rr is the radius of the circle.

Given that the radius rr is 12 feet, we can substitute this value into the formula:

C=2π×12=24π feetC = 2\pi \times 12 = 24\pi \text{ feet}

So, the circumference of the circle is 24π24\pi feet.

Would you like more details on this, or do you have any questions?


Here are 5 related questions:

  1. What would the circumference be if the radius were doubled?
  2. How do you calculate the area of the same circle?
  3. If the diameter of the circle is given, how would you find the circumference?
  4. What is the relationship between the radius and the diameter of a circle?
  5. How would the circumference change if the radius were 6 ft?

Tip: Always remember that the circumference of a circle is directly proportional to its radius. Doubling the radius will double the circumference.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle properties

Formulas

Circumference of a circle: C = 2\pi r

Theorems

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Suitable Grade Level

Grades 6-8