Circle Area Calculation Using Circumference

Which of the following expresses the area of a circle in terms of C. It's circumstances?

Which of the following expresses the area of a circle in terms of C. It's circumstances?

Answer: C^2/4π
Explanation

The area of a circle can be expressed in terms of its circumference C as:

A = C^2 / 4π

This is because the circumference C is related to the radius r by:

C = 2πr

And the area A is related to the radius r by:

A = πr^2

Substituting the expression for r in terms of C, we get:

A = C^2 / 4π

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