Given that A pir2 and C 2pir Define a function f that dete

Given that A = pir^2 and C = 2pir, Define a function f that determines the area of a circle in terms of its circumference, C. f(c) = c^2/4pi f(C) = c^2/4 f(c) = c^2/2pi f(C) = piC^2 none of the above.

Solution

Given, Area=A=pi*r^2 and   Circumference=C=2*pi*r => r=C/(2*pi)

Now Area=A=pi*r^2=pi*[(C/(2*pi))^2]=pi*C^2/(4*pi^2)=C^2/(4*pi) ........ans