Question 102718
let x and y equal the two radii ... x+y=17 ... y=17-x ... pi(x^2)+pi(y^2)=pi(13^2) ... x^2+(17-x)^2=13^2


x^2+17^2-34x+x^2=13^2 ... 2x^2-34x+120=0 ... x^2-17x+60=0 ... (x-5)(x-12)=0


x=5 or x=12, so y=12 or y=5 ... the two radii are 5 and 12