A rectangle is inscribed in semicircle of radius 4m. Find the max possible area for such a rectangle

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- June 15th 2008, 07:54 AM #1

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- June 15th 2008, 08:18 AM #2

- June 15th 2008, 09:04 AM #3

- June 15th 2008, 09:10 AM #4

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- June 15th 2008, 10:16 AM #5
Here is what I was doing until I realized I used the wrong radius.

Sorry if it seems redundant since RedDogs fine answer, but I worked it out earlier and do not want my attempt to go in vain.

Let x and y be the dimensions of the rectangle. Then area is**A=xy**

But

This means

Sub into A and we have:

Max area is then

Now, try the same problem with an inscribed trapezoid