# On a square handkerchief, nine circular designs each of radius 7 cm are made

14.8k views

On a square handkerchief, nine circular designs each of radius 7 cm are made (see the given figure). Find the area of the remaining portion of the handkerchief.[ Use π = 22/7]

+1 vote
by (18.2k points)
selected

From the figure, it can be observed that the side of the square is 42 cm.

Area of square = (Side)2 = (42)2 = 1764 cm2

Area of each circle = π r2

= 22/7 x 7 x 7 = 154 cm2

Area of 9 circles = 9 x 154 = 1386 cm2

Area of the remaining portion of the handkerchief = 1764 − 1386 = 378 cm2