Answer :

Side of square, a = 7cm

Area of square, A_{S} = a^{2}

⇒ A_{S} = 7^{2} = 49 sq.cm

⇒ R = 3.5 cm

There is a quadrant of each of four circles that is present inside the square,

⇒ A_{Q} = 9.625 sq.cm

Shaded area = Area(square) – [4 × area(quadrant)]

⇒ Shaded area = A_{S} – [4 × A_{Q}]

⇒ 49 – (4 × 9.625)

⇒ 49 – 38.5

⇒ 10.5 sq.cm

∴ Area of shaded region is 10.5 sq.cm

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