Question

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.

Answer 1

radius =7cm
diameter=14cm
=7*14
=126

Answer 2

Step-by-step explanation:

Given:

=> Radius of circle = 7 cm.

=> Diameter of circle = 7 x 2 cm =

= 14 cm.

=> Side of square ABCD = 3 x 14 = 42 cm. =

To find:

=> Area of remaining portion.

Formula used:

Area of square = (side)^

Area of circle = ar^

So,

Area of square(ABCD)-(side)^

=42 x 42

=1764 cm

Now, Area of circle = πr^

=22/7x 7 x 7

=22 x 7 = 154 cm^

There are 9 circles on handkerchief.

So, Area of 9 circles 154 x 9 1386 cm^

Now, Area remaining portion Area of square(ABCD) - Area of 9 circles.

=> 1764 - 1386

=> 378 cm^.