# Math

A rectangle is inscribed in a semi circle of radius 2, let x represent half the length of the rectangle. Write an expression for the area of the rectangle in terms of x.

Well I know area=length X width. That's about all I know what to do though

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1. r ^ 2 = x ^ 2 + w ^ 2

2 ^ 2 = x ^ 2 + w ^ 2

4 = x ^ 2 + w ^ 2

w ^ 2 = x ^ 2 - 4

w = sqrt ( x ^ 2 - 4 ) =

A = 2 x * w

A = 2 x * sqrt ( x ^ 2 - 4 )

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posted by Bosnian
2. OH! Okay thanks! I was doing something similar, but I guess I was just confusing myself. That was actually pretty simple.

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