please help

write the inverse of the area function of a circle and leave the answer in terms of pi.

kinda confused here

Question

please help

write the inverse of the area function of a circle and leave the answer in terms of pi. 

kinda confused here

accessdenied · Answer

So, do you know the area function of the circle?  As in, given a radius r, the function gives the area of the circle of radius r.

anonymous · Answer

yes i know that

anonymous · Answer

a=pir^2

accessdenied · Answer

Yup.  Then, to find an inverse function, we would like to solve for r in terms of A.  Is that part clear as well?

anonymous · Answer

it says inverse in terms of pi though

accessdenied · Answer

What it means by that is, we will keep the pi as it is in the equation, rather than say rounding it to 3.14 or something:
So if this were our equation (circumference in terms of pi and r):
   C = 2 pi r
We solve for r by dividing by 2 pi:
   C / (2 pi) = r
We leave pi as is and now have the function r in terms of pi and C.  Does that make more sense about what the question is asking?

anonymous · Answer

ok i see

accessdenied · Answer

Awesome.  Then you see how to do this problem?  I can go over the work if you like.

anonymous · Answer

sqrt(a/pi)=r ?

accessdenied · Answer

Looks good!  And worthy of note is that because the radius is always nonnegative (r > 0), it is the positive square root rather than negative.

anonymous · Answer

ok thanks!