. Three semicircles each of diameter 3 cm a circle of diameter

Best Answer

Explanation

We know the formula for area of the circle isr².

And area of semi circle is πr²/2.

Now we divide the given figure into 2 circles and 2  semi circle.

Circle 1 has radius  4.5 /2=2.25cm and 

Circle 2 has radius 3 /2=1.5 cm.

Semi circle 1 has radius 4.5 /cm

Semi circle 2  has radius 3 /2=1.5 cm 

Now area of circle 1 will be 

π(2.25)²=5.6025π

Similarly area of circle 2 will be 

(1.5)2=2.25

Area of Semi circle 1 is π(4.5)² /2=10.125 

Area of semi circle  2 is π(1.5)² /2=1.125

Now area of shaded region thus formed will be

Area of semi circle  1 + Area of semi circle 2- area of circle 1-area of circle 2

=π(10.125+1.125-5.6025-2.25)

=π(3.3975)

Final Answer

The area of shaded region is 3.3975π=10.66185 cm².