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what do i do next?

That should get you a value for r.

Then you work out the length \(2\pi r\), and the length \((36 - 2\pi r)\)

Actually, according to my sanity test, that gives you lengths longer than 36, so it can't be right.

Nope, calculation error. Never mind.

i still dont know where to begin...

πr^2+((1/4)(36-2πr))^2?

where did dA/dr come from?

Have you started calculus yet?

no...

no... my class is intermediate algebra

Well my apologies, I don't see how it's possible to solve this with just algebra.

hmm...
can you type how to solve this your way and i can just write it down?

true...

WELL THAT'S EASY

huh?