English

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

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Question

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

Sum
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Solution

Area of shaded portion = Area of trapezium – Area of rectangle – Area of circle

Area of trapezium = `1/2` × [Sum of parallel sides] × Height

= `1/2 xx (120 + 160) xx 100`

= `1/2 xx 280 xx 100`

= `28000/2`

= 14000 cm2

Area of rectangle = Length × Breadth

= 40 × 20

= 800 cm2

Area of circle = πr2

= `22/7 xx 7 xx 7`

= 154 cm2

∴ Area of shaded portion = 14000 – 800 – 154 = 13046 cm2 

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Chapter 11: Mensuration - Exercise [Page 354]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 11 Mensuration
Exercise | Q 81. | Page 354

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