## anonymous one year ago 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

1. anonymous

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

2. Jhannybean

$\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$

3. Jhannybean

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}}$

4. Jhannybean

Do you follow, @bruno101 ?

5. anonymous

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

6. Jhannybean

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

7. anonymous

OK I SEE THANKS!! @Jhannybean

8. Jhannybean

No problem :)