Math Problem Statement

Find the circumference of the circle. Use 3.14 for pi. 13 ft Question content area bottom Part 1 The circumference is about    enter your response here ft. ​(Type an integer or decimal rounded to the nearest hundredth as​

Solution

The formula for the circumference CC of a circle is:

C=2πrC = 2\pi r

where:

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

Given the radius r=13r = 13 ft, substitute this into the formula:

C=2×3.14×13=81.64ftC = 2 \times 3.14 \times 13 = 81.64 \, \text{ft}

So, the circumference of the circle is approximately 81.64 ft.

Would you like any further details or clarification? Here are some related questions you might find helpful:

  1. How is the circumference formula derived?
  2. What is the relationship between the diameter and the radius of a circle?
  3. How do you calculate the area of a circle?
  4. Can the circumference formula be used to find the radius if the circumference is known?
  5. What is the significance of π\pi in circles?

Tip: Always use the correct value for π\pi (3.1416 or 3.14) depending on the level of precision needed.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles
Circumference

Formulas

Circumference formula: C = 2πr

Theorems

Formula for circumference of a circle

Suitable Grade Level

Grades 6-8