(i) Circumference = pi x Diameter
(ii) Area = pi x Radius^2
From (i),
D = C/pi
R= (C/pi)/2
Substituting into (ii),
Area = pi x ((C/pi)/2)^2
Simplifying:
A = (C^2) / (4 x pi)
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Area = (Circumference)2/(4*pi)
Circumference of a circle is (pi * diameter). Area of a circle is (pi * r2).
Divide the circumference by pi, and that will give you the diameter. Then take half of the diameter (the radius), and plug it into the formula for the area of a circle (A=πr²)
circumference=r2pi
Circumference: multiply the diameter by pi (approximately 3.1416). Area: Divide the diameter by 2 to get the radius. Then use the formula area = pi x r2, where r is the radius.