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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 the given figure = Area of section with 6 cm + Area of square with side measure 12 cm + Area of semi-circle with radius 6 cm

= `(22 xx 6 xx 6)/(7 xx 4) + (12)^2 + (22 xx 6 xx 6)/(7 xx 2)`

= `(11 xx 18)/7 + 144 + (11 xx 36)/7`

= `198/7 + 144 + 396/7`

= `(198 + 1008 + 396)/7`

= `1602/7`

= 228.85 cm2

Hence, area of the given figure is 228.85 cm2

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Chapter 11: Mensuration - Exercise [Page 355]

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NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 11 Mensuration
Exercise | Q 84. | Page 355

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