i apologize for question 1. It is supposed to be separated. 4 place mats radius r and 1 place mat radius 2r. Sorry
Max surface area covered by 4 Max surface area covered by 1 place mat with
circular place mats with radius R radius 2r.
2.  = absolute value
4-1/x = 4x
I thought I did this one right but for some reason my answer is not coming out right.
Thanks for the help everyone!!!!!!!
4 mats of radius 1 would cover 4 x (pi x 1squared) = 4pi
1 mat of radius 2 would cover 1 x (pi x 2squared) = 4pi
Try it with r=3
4 x (pi x 3squared) = 36pi
1 x (pi x 6squared) = 36pi
Try it with r=1/2
4 x (pi x 1/2squared) = 1pi
1 x (pi x 1squared) = 1pi
The key here is that you're always taking 4 x (the square of the radius) and comparing it to (2 x radius)squared.
Factor (2 x radius)squared = 2squared x radius squared, and since 4 = 2squared, they're going to be the same always.
Last edited by annabel398; 09-15-2011 at 01:00 PM.
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