If the circumference of a circle is 628, what is the area of the circle?

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The circumference of a circle is directly related to its radius through the formula:

C = 2πr

Here, C represents the circumference, r is the radius, and π (pi) is a constant approximately equal to 3.14159. To find the area of the circle, we can follow these steps:

  1. Find the Radius: Given that the circumference (C) is 628, we can rearrange the formula to find the radius:

    2. r = C / (2π) = 628 / (2π)

    Therefore, r ≈ 100 (using 3.14159 for π).

  2. Calculate the Area: Now that we have the radius, we can find the area using the area formula:

    3. A = πr²

    Substituting the radius:

    A ≈ π(100)² = π(10000)

    This results in:

    A ≈ 31415.9 (using 3.14159 for π).

Thus, the area of the circle is approximately 31415.9 square units.

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