Question

find the area of shaded region​

Answer 1

GIVEN :

• Sides of a square are 14 cm.
• Area of larger square = side².

TO FIND :

• Area of the shaded region.

$\Large\red {\sf SOLUTION \: :}$

Let, Area of larger square = Side²

$\implies$ 14²

$\implies$ 196 cm²

There are 4 semi circle means = 2 complete circles.

So, there are to circles of diameter 2x cm.

Now,

$\implies$ 3 + x + 2x + x + 3 = 14

$\therefore$ $\red {\boxed {\sf X = 2}}$

So radius of circle will be = 2 cm

Area of the shaded region = area of circle + area of side of 4 cm.

$\implies \sf 2 \pi r^{2} \: + \: side^{2}$

$\implies$ 25.12 + 16

$\implies$ 41.12 cm²

$\quad$ The area of the shaded region = 196 - 41.12

$\therefore$ $\red {\boxed {\sf 154.88 cm^{2}}}$

•°• Area of the shaded region is = 154.88 cm².