Math Problem Statement

What is the circumference of a circle with a radius of 3 feet? Estimate the circumference to the hundredths place using 3.14 for π.

Solution

To calculate the circumference of a circle, the formula is:

C=2πrC = 2 \pi r

Given that:

  • The radius r=3feetr = 3 \, \text{feet}
  • The approximation π=3.14\pi = 3.14

We can substitute the values into the formula:

C=2×3.14×3C = 2 \times 3.14 \times 3

Let me calculate this.The estimated circumference of the circle is 18.84feet18.84 \, \text{feet}, rounded to the hundredths place.

Would you like more details or have any further questions?

Here are some related questions to explore:

  1. How would the circumference change if the radius was doubled?
  2. What would be the area of this circle using the same value of π\pi?
  3. How does the formula for circumference relate to the formula for the area of a circle?
  4. Can you find the diameter of the circle from the given radius?
  5. How would the result differ if we used a more precise value of π\pi (such as 3.1416)?

Tip: Remember, the diameter of a circle is twice the radius, and you can directly use the diameter to find the circumference using C=π×dC = \pi \times d.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circles

Formulas

Circumference of a circle C = 2πr

Theorems

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Suitable Grade Level

Grades 6-8