Question

Algebra-Inequalities Question:



You have 2 circles, one with the radius r and the other one with Radius R. You wish for the difference in the areas of these two circles to be less than or equal to 5 pi. If r+R=10, what is the maximum difference in the lengths of the radii?

Answer 1

(R^2)*pi -( r^2)*pi = 5*pi so R = 10 - r

(10-r)^2 - r^2= 5 pi reduces to 1 since all have pi

Answer 2

100-20r + r^2 - r^2 = 5
-20r = -95
r = 19/4

Answer 3

Oh, okay, I got it now.

Answer 4

:D