If a square is inscribed in a circle of radius r as shown below, then the area of the square region is______

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Job Solution Uttara Bank Ltd Uttara Bank Ltd - Probationary Officer - 20.11.2009 গণিত
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Since the radius is r, the circle’s diameter = diagonal of square = 2r.

Since diagonal = side√2:

2r = side√2

2r/√2 = side

Thus, area of the square = (2r/√2)^2 = 4r^2/2= 2r^2.

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