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write a formula that expresses the area of a circle, a (in cm2), in terms of the circumference of the circle, c (in cm).

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Final answer:

The formula that expresses the area of a circle, A (in cm2), in terms of the circumference of the circle, C (in cm), is A = C^2 / (4π).

Step-by-step explanation:

The formula that expresses the area of a circle, A (in cm2), in terms of the circumference of the circle, C (in cm), is:

A = C2 / (4π)

For example, if the circumference, C, is 10 cm, the area, A, can be calculated as:

A = (102)/(4π)

Remember that π is approximately 3.14159.

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