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.

Answer 1

area of handkerchief `= 42*42 = 1764 cm^2`
area of 1 circle `= pi r^2 = 22/7*7*7`
`= 154 cm^2`
area of 9 circles is `=9*154 = 1386 cm^2`
remaining area `= 1764- 1386`
`= 378 cm^2`
answer