Tuesday, July 28, 2009

Express th earea of A of a circle as a function of its circumference c?

Please show all work.





Thank you very much :)

Express th earea of A of a circle as a function of its circumference c?
A = π*r^2





C = 2*π*r


C^2 = 4*π^2*r^2


C^2 = 4*π*(π*r^2)


C^2 / (4*π) = π*r^2





A = C^2 / (4*π)
Reply:C = 2 * Pi * r


r = C/2*Pi





A = Pi* r^2


r = (A/Pi)^0.5





(A/Pi)^0.5 = C/2*Pi


A/Pi = (C/2*Pi)^2


A = C^2/4*Pi^2 * Pi


A = C^2/4*Pi
Reply:C = 2pi r


so r = C/(2pi)


A = pi r^2


so A = pi (C/(2pi))^2 = pi C^2/(4 pi^2) = C^2/(4 pi)
Reply:A=pi(r)^2 area of the circle


C=2pir- circumference of the circle


c^2=4pi^2 r^2.


A/C^2=1/4pi


A=C^2/4pi ANS
Reply:A=pi.r^2


C=2.pi.r=%26gt;r=C/(2.pi)


plug it in the area formula


A=pi.C^2/(4.pi^2)=C^2/(4.pi)

gladiolus

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