in the given figure there is a square of side 14 cm find the area of the shaded region
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Side of square = 14 cm
Four quadrants are included in the four sides of the square.
∴ Radius of the circles = 14/2 cm = 7 cm
Area of the square ABCD = 142 = 196 cm2
Area of the quadrant = (π R2)/4 cm2 = (22/7 × 72)/4 cm2
= 77/2 cm2
Total area of the quadrant = 4 × 77/2 cm2 = 154 cm2
Area of the shaded region = Area of the square ABCD - Area of the quadrant
= 196 cm2 - 154 cm2
= 42 cm2
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Answer:- Area of the shaded region is 42 square cm.
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