Question

Help:
If a circle has a circumference of C, what is the area of the circle in terms of C?

A=πC

A=C2/4π

A=2C/π

A=2C2

Answer 1

i dnt know i have a feeling its C but im not quite shure @Rushwr

Answer 2

\[\sf C=2\pi r\]\[\sf A=\pi r^2\]If we use our equation of circumference and solve for r, we wcan input that into our equation for Area to set it in terms of C \[\sf C = 2\pi r \implies r = \frac{C}{2\pi}\]\[\sf A= \pi\left(\frac{C}{2\pi}\right)^2\]

Answer 3

Now let's expand our function of Area. \[\sf A =\cancel{ \pi} \left(\frac{C^2}{4 \cancel{\pi^2}\pi}\right)\]\[\sf \boxed{A = \frac{C^2}{4\pi}}\]

Answer 4

Do you follow, @bruno101 ?

Answer 5

yes i see it seems a little complicated but once u follow its easier @Jhannybean

Answer 6

When they say `in terms of C` they want the function (Area) in terms of Circumference. So basically... \(A(\text{circumference})\)

Answer 7

OK I SEE THANKS!! @Jhannybean

Answer 8

No problem :)