A Square with two sides tangent to a circle.
A square is partly within a circle and partly outside it, with two sides tangent to the circle as shown in the figure.
If the radius of the circle is 4 units,
Find the area of the square correct to two decimal places.
The answer is 46.63.
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1 solution
From the figure, if r is the radius of the circle and s is the side of the square,
s . sqrt(2) = r + sqrt(2) . r = r(1 + sqrt(2))
Solve for s and find s^2.