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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.

                                            

Answers (1)

best_answer

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 is  :              =\ 1764\ -\ 9\times 154

                                                                      =\ 378\ cm^2

                                       

Posted by

Devendra Khairwa

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