chicaobscura88

08-21-2005, 01:59 PM

I have a summer calculus take-home test due the first day of school of 200+ problems. I got all of them but two-- this one and the one I posted in the "other math help" category. This one is geometry related. I have asked everyone I know to help me out with this problem and no one can get it. A few people have suggested that it may be unsolvable, or that my teacher left out some information so it is incomplete. If anyone can get an answer though, I would be forever in your debt. Here it goes:

A rectangle is inscribed in a circle of radius r. The horizontal dimension of the rectangle is x, the vertical dimension is y. Express the area of the rectangle as a function of the variable x only.

There is a diagram included as well, but the problem is pretty much self-explanatory. It is on a page of the test that is hand-written by my teacher, so it's possible that he messed it up, but if there is a way to solve it, I'm hoping that someone here can find it. HELP PLEASE! Thanks in advance for any information you can offer!

A rectangle is inscribed in a circle of radius r. The horizontal dimension of the rectangle is x, the vertical dimension is y. Express the area of the rectangle as a function of the variable x only.

There is a diagram included as well, but the problem is pretty much self-explanatory. It is on a page of the test that is hand-written by my teacher, so it's possible that he messed it up, but if there is a way to solve it, I'm hoping that someone here can find it. HELP PLEASE! Thanks in advance for any information you can offer!