Math Problem Statement

The radius of a circle is 10.4 ft. Find the circumference to the nearest tenth.

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
  • π\pi is approximately 3.1416

Given that the radius r=10.4r = 10.4 ft, we can substitute this value into the formula:

C=2×3.1416×10.4C = 2 \times 3.1416 \times 10.4

C65.3ftC \approx 65.3 \, \text{ft}

So, the circumference of the circle is approximately 65.3 feet.

Would you like more details on this formula or how to apply it in different situations?

Here are 5 related questions you might find interesting:

  1. How does changing the radius affect the circumference of a circle?
  2. What would be the area of this circle with a radius of 10.4 ft?
  3. How do you calculate the area if you are only given the circumference?
  4. How do you estimate π to different levels of precision (e.g., using 3.14, 22/7, etc.)?
  5. What would happen to the circumference if the radius was doubled?

Tip: When calculating circumference or area, always be sure to keep track of the units used (in this case, feet) to ensure your final answer is in the correct measurement.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference

Formulas

C = 2πr

Theorems

Circumference of a circle

Suitable Grade Level

Grades 6-8