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  • On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig.). Find the area of the remaining portion of the handkerchief.

11. On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig.). Find the area of the remaining portion of the handkerchief.

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Since one side of the square has 3 circles, thus the side of the square is 42 cm.

Area of the square  =\ a^2\ =\ 42^2\ =\ 1764\ cm^2

And, area of a circle =\ \pi r^2\ =\ \frac{22}{7}\times 7^2

=\ 154\ cm^2                                          

Hence the area of the remaining portion =\ 1764\ -\ 9\times 154

=\ 378\ cm^2

                                       

Posted by

Devendra Khairwa

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