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# On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig. 12.29). Find the area of the remaining portion of the handkerchief. Q.11

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In chapter areas related to circles of ncert class 10 what is the best solution of exercise 12.3 question number 11 .Find the best and easiest way to solve this question , its very tricky question of this chapter give me the simplest solution of this question.On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig. 12.29). Find the area of the remaining portion of the handkerchief.

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1. Number of circular designs = 9

Radius of the circular design = 7 cm

There are three circles in one side of square handkerchief.

âˆ´ Side of the square = 3Ã—diameter of circle = 3Ã—14 = 42 cm

Area of the square = 42Ã—42 cm2Â = 1764 cm2

Area of the circle = Ï€ r2Â = (22/7)Ã—7Ã—7 = 154 cm2

Total area of the design = 9Ã—154 = 1386 cm2

Area of the remaining portion of the handkerchief = Area of the square â€“ Total area of the design = 1764 â€“ 1386 = 378 cm2

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