Respuesta :

The area of a circle as a function of the circumference when calculated from substituting values in their formulas gives the expression written as; A = πC²/4

What is the formula for area and circumference of a Circle?

The formula for area of a circle is;

A = πr²

Making area as a function of the radius will give;

r = √(A/π)

Formula for Circumference of a Circle is;

C = 2πr

Thus making Circumference as a function of the radius will give;

r = C/2

Putting C/2 for r in the area formula gives;

A = π(C/2)²

A = πC²/4

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