5. From cach comer of a square ofst de 4 cm a quadrant of a circle of radius I cams and also a arcle of diameter 2 cm is cut as shown in Fig 12.23 Find the ance of the ing portion of the square
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Step-by-step explanation:
Area of shaded region = Area of square ABCD − Area of 4 quadrants − Area of circle with diameter 2 cm
Area of square =4×4=16cm
2
Area of sector =
360
θ
×π×r
2
Area of 4 quadrants =4×
360
90
×π×1×1
=3.14cm
2
Area of circle=π×r
2
=π×1×1
=3.14cm
2
∴ Area of shaded region =16−6.28 =9.72cm
2
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