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Question 19
A square of length 1 m is inside a square of length 2 m and four quarter circles are joined as shown in the figure. The value of y —x is given by,
Solution
From the above figure area of the region bounded by ABCDEFGH = Are of the square with side 2 - (4*quadrants with side 1cm + 4x)
=4-$$\pi\ $$-4x
Which is same as the area of the square with side 1 cm -4y
4-$$\pi\ $$-4x = 1-4y
4x-4y=3-$$\pi$$
y-x= $$\frac{\pi-3}{4}$$
D is the correct answer.
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