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Find the area enclosed by the following figure:

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Question

Find the area enclosed by the following figure:

Diagram
Sum
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Solution


The given shape contains a semi-circle and a triangle.

Area of semi-circle

= `1/2 πr^2`

= `1/2 xx 22/7 xx 10 xx 10`

= `1100/7`cm2

Area of triangle

= `1/2` × Base × Height

= `1/2 xx 20 xx 7`

= 70 cm2

Hence, total area enclosed by the shape

= `1100/7 + 70`

= `(1100 + 490)/7`

= `1590/7`

= 227 cm2 (approx)

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Chapter 9: Perimeter and Area - Exercise [Page 286]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 9 Perimeter and Area
Exercise | Q 97. | Page 286

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