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Question

Find the area of the shaded portion in the following figures.


A
12946 cm2
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B
13046 cm2
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C
13246 cm2
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D
13346 cm2
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Solution

The correct option is B 13046 cm2
Area of shaded portion=Area of trapezium-Area of rectangle-Area of circle
Area of trapezium
=12×[Sum of parallel sides]×Height=12×(120+160)×100=12×280×100=280002=14000 cm2Area of rectangle = Length×Breadth =40×20 =800 cm2Area of circle = πr2 =227×7×7 =154 cm2Area of shaded portion=14000800154=13046 cm2

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