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42 cm^2
Step-by-step explanation:
Area of square = side^2 = (14cm)^2
= 196 cm^2
On observation:
sum of diameters of two adjacent circle = side of square
Since diameter of all circles is equal. Let the diameter of each circle be 2a.
⇒ 2a + 2a = side of square = 14 cm
⇒ 4a = 14cm
⇒ 2a = 7 cm = diameter
⇒ a = 3.5 cm = radius
Hence,
Area of each circle = π(3.5)² cm²
= 38.5 cm^2
Area of four such circle = 4*38.5 cm^2
= 154
Therefore, shaded area
⇒ area of sq. - area of circle
⇒ 196 - 154 cm^2
⇒ 42 cm^2
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