Question

Find the area of the shaded region in the figure given

Answer 1

We have to first find area of semicircle having radius14.
Then add it with both semicircle having radius 7
Two semicicle make a circle
Hence area of semicircle = pie r²/2
=22*14*14/7*2
=22*14*14/14
=22*14
=308
Now area of two semicircle i.e. a circle
Area = pie r²
= 22*7*7/7
=22*7
=154
Total area = 308+154
=462
Hope it helps

Answer 2

The area of the shaded region is 462 cm².

Given,

A figure consisting of three semicircles. The radius of the bigger one is 14 cm and the radius of the two smaller ones is 7 cm.

To Find,

The area of the shaded region.

Solution,

In the given figure, there are three semicircles. So the area of the figure will be the sum of the area of these semicircles.

Area of bigger semicircle = 1/2πr² = 1/2π(14)²

Area of the two smaller semicircles = 2(1/2π(7)²)

Area of the shaded region = 1/2π(14)²+ 2(1/2π(7)²)

Area of the shaded region = 1/2*22/7*14*14 + 22/7*7*7

Area of the shaded region = 11*2*14+22*7 = 308+154 = 462 cm²

Hence, the area of the shaded region is 462 cm².