Math Problem Statement

The radius of a circle is 4.6 ft. Find the circumference to the nearest whole number.

Solution

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

C=2πrC = 2 \pi r

where:

  • CC is the circumference
  • rr is the radius of the circle
  • π\pi is approximately 3.1416

Given that the radius r=4.6r = 4.6 ft, we can substitute this value into the formula:

C=2×3.1416×4.6C = 2 \times 3.1416 \times 4.6

C28.924ftC \approx 28.924 ft

Rounding to the nearest whole number:

C29ftC \approx 29 \, \text{ft}

Thus, the circumference of the circle is approximately 29 feet.

Would you like more details on this, or do you have any other questions? Here are some related questions you might find helpful:

  1. How do you calculate the area of a circle?
  2. What is the relationship between the radius and diameter of a circle?
  3. How does the circumference change if the radius is doubled?
  4. How do you use the circumference to find the radius of a circle?
  5. What are some real-world examples where you might calculate a circle’s circumference?

Tip: When working with the circumference formula, remember that the diameter d=2rd = 2r, so sometimes it’s easier to use C=πdC = \pi d.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle
Circumference

Formulas

C = 2πr

Theorems

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Suitable Grade Level

Grades 6-8