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
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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