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,
Explanation:
Area of the shaded region = (Area of the bigger square) − (4 × Area of the quarter of radius = 1) − 4x. = 22 − [4 × π × 12/4)] − 4x ...(1) Also, area of the same shaded region = (Area of the smaller square) − 4y. = 12 − 4y ...(2) Equating (1) and (2), we get,
4 -π – 4x = 1 – 4y ⇒ (y − x) = (π − 3)/4 Hence option (d).
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