Question 103276
W=L-9
W=2R
(2W+2L)-2PiR=450

You want to find Pi*R^2 which is the same as Pi*W^2/4

2W+2(W+9)-W*Pi=450
4W+18-Pi*W=450
(4-Pi)*W=432
W=432/(4-Pi)
Pi(432/(4-Pi))^2/4

Plug that puppy into a calculator and you get:
198,916.36920088...
or 1.98*10^5

Hmm, that is ugly - but I've checked it - let me know if it confers with your thoughts.