# Router Range Calculations [closed]

I'm relatively new to ServerFault, so I'm hesitant to ask what I KNOW is a dumb question, but this is bugging the hell out of me.

AmpedWireless has announced a new router, the R20000G, that boasts 10,000 square feet of wireless coverage. The graphics show the signal extending out the hosue, into the trees, and it was shown off at CES.

All of this tells me that it's range is noteworthy....but....if I do the math, in theory, all you need is a signal at 56ft in order to cover 10,000 sq ft of area. So what am I missing? I know it's something, I just can't figure out what??

area of a circle = pi * r ^2

10,000 = pi * r^2

10,000/3.14 = r^2

sqrt(10000/3.14) = r

56.4 = r

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## closed as not constructive by Zoredache, mrdenny♦May 14 '12 at 18:30

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Someone brought up the point that maybe they're talking about being able to cover an entire, 100x100 ft area, like a building, for a total of 10,000 feet. In this case, you would still only need a signal radius of 70.5 feet... –  John K May 14 '12 at 17:43
I doubt you are missing anything. It sounds like marketing crap. –  Zoredache May 14 '12 at 17:59