Question

Find the area of the shaded design in Fig. 12.17, where ABCD is a square of side 10 cm and semicircles are drawn with each side of the square as diameter. (Use π = 3.14)

Answer 1

Answer:

56.8cm²

Step-by-step explanation:

Take the area of hemisphere AOB(with O as the centre of the flowery structure)

= 1/2πr²

= 1/2 x 22/7 x (5)²

= 22/14 x 25

= 39.2 cm²

We've to take the area of all 4 hemispheres.

So, area of 4 hemispheres= 4x39.2 = 156.8 cm²

Now area of shaded region= 156.8 – Ar. of the sqr.

= 156.8–100

=56.8cm²