iwantto wrote:

A circle with center O is inscribed in square WXYZ. Point P is the intersection between the circle and the line connecting O with X. If PX =sqrt[2] - 1, what is the approximate area of the shaded parts of the square?

A) .5

B) .64

C) .85

D) 1

E) 1.25

From the above figure OX = \(\sqrt{2}\) and OP = 1

so Area of circle = \(pi*1*1= Pi\)

Diagonal XZ = \(2*\sqrt{2}\)

so side of square= 2

area = 4

diff in area = 4 - 3.14 = 0.85

IMO: C
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