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A state seal, which is round, hangs in the capitol building. It has a radius of 1 meter. What is the seal's circumference?

Question

A state seal, which is round, hangs in the capitol building. It has a radius of 1 meter. What is the seal's circumference?

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Solution

1. Break Down the Problem

To find the circumference of a round object, we need to use the formula for the circumference of a circle, which is given by: C=2πr C = 2 \pi r where r r is the radius of the circle.

2. Relevant Concepts

  • The circumference C C of a circle is directly proportional to its radius r r .
  • The value of π \pi is approximately 3.14 3.14 .

3. Analysis and Detail

  • Given that the radius r=1 r = 1 meter.
  • Using the formula: C=2π(1) C = 2 \pi (1)

4. Verify and Summarize

Calculating the value: C=2×3.14×1=6.28 meters C = 2 \times 3.14 \times 1 = 6.28 \text{ meters} Thus, the circumference of the state seal is confirmed.

Final Answer

The circumference of the seal is 6.28 6.28 meters.

This problem has been solved

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