Math Problem Statement

The radius of a circle is 1 inch. What is the circle's circumference? Use π ≈ 3.14 and round your answer to the nearest hundredth.

Solution

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

C=2πrC = 2 \pi r

Given:

  • r=1r = 1 inch
  • π3.14\pi \approx 3.14

Now, substituting the values:

C=2×3.14×1=6.28 inchesC = 2 \times 3.14 \times 1 = 6.28 \text{ inches}

So, the circumference of the circle is approximately 6.28 inches.

Would you like further explanation on this problem?

Here are some related questions to expand your understanding:

  1. What is the formula for the area of a circle?
  2. How would the circumference change if the radius were doubled?
  3. How is the diameter of a circle related to its radius?
  4. If the circumference is known, how can you find the radius?
  5. Why is π\pi used in the calculation of circles?

Tip: Remember, the diameter of a circle is twice the radius, so you can also calculate the circumference using C=π×dC = \pi \times d.

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle properties
Circumference calculation

Formulas

Circumference of a circle: C = 2πr

Theorems

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Suitable Grade Level

Grade 6