SOLUTION: The formula for the area of circle is A= pi.r^2 .(page 395# 28) Find the inverse of the funtion

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Question 445502:
The formula for the area of circle is A= pi.r^2 .(page 395# 28)

Find the inverse of the funtion

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A= pi.r^2
this is equivalent to:
f(r) = pi*r^2
y = pi*r^2
switch y's and r's:
r = pi*y^2
solve for y:
r = pi*y^2
r/pi = y^2
sqrt(r/pi) = y
.
therefore, the inverse is:
sqrt(A/pi)
so, if you knew the area (A), you can find the radius (r)