Answer to Question #53403 in Analytic Geometry for quamrulhussain

Question

Two circles C1
andC2
both have the coordinate axes as tangents.
equation of C1 is (x-a)^2 + (y-b)^2= 25 where a<0 and b>0 and equation of C2 is (x-c)^2 + (y-d)^2= 16 where c,d>0
C1 touches the x axis at the point A and has its centre at the point B


C2 touches the x axis at the point D and has its centre at the point C

Find the area of the quadrilateral ABCD giving your answer as an exact fraction.