Math Problem Statement

Find the circumference of the circle with radius r = 4 feet.

Solution

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

C=2πrC = 2 \pi r

Where:

  • CC is the circumference,
  • rr is the radius of the circle,
  • π3.1416\pi \approx 3.1416.

From the image, the radius r=4r = 4 feet. Now, let's calculate the circumference:

C=2×3.1416×4=25.12 feet.C = 2 \times 3.1416 \times 4 = 25.12 \text{ feet}.

Therefore, the correct answer is 25.12 feet.

Would you like a more detailed explanation or have any questions about this?

Here are 5 related questions for you:

  1. What would happen to the circumference if the radius were doubled?
  2. How do you calculate the area of a circle using the radius?
  3. If the diameter of the circle were given, how would you calculate the circumference?
  4. Can you explain the concept of π\pi and why it is used in circle calculations?
  5. How do you calculate the circumference of a circle when the diameter is provided directly?

Tip: Always ensure you're using the correct units (like feet or meters) and converting them when necessary!

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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