Question 1175957
In order of increasing radius, the circles' radii will be a, b, and c.


a + b = 5

a + c = 12

b + c = 13


Add all of the equations together:


a + b + c = 30/2 = 15


So, we get a = 2, b = 3, and c = 10.


The total area of the circles is {{{2^2 (pi) + 3^2(pi) = 10^2(pi) = 113pi.}}}