Q. 114.6( 199 Votes )

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.

Answer :

Radius of circle is 7 cm.
Diameter of the circle is 14 cm.
As 3 circles are there on one side of the square.
The side of the square will be 14 × 3 = 42 cm

Area of square = (Side)2

= (42)2

= 1764 cm2

Area of each circle = πr2

= × (7)2

= 154 cm2

Area of 9 circles = 9 × 154

= 1386 cm2

Area of the remaining portion of the handkerchief = 1764 - 1386

= 378 cm2

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