Question

In the figure given below, find the area of the shaded region ( use π =3.14​

Answer 1

Answer:

Hello mate

Here is your answer

1st we calculate the diagonal of the rectangle

So, diagonal of rectangle = BD

( BD) ^2 =( AB)^2+(AD) ^2

= 64 cm^2+ 36 cm.^2

= 100 cm^2

=> BD =√ 100cm

= 10 cm

So, diagonal = 10cm

Now as diagonal passes through the center, it is forming the diameter of the circle

So radius = Diameter /2

= 10/2 = 5 cm

Area of circle =2πr^2

= 2*3.14*25 cm ^2

= 157cm^2

Now Area of rectangle = Length *Breadth

= 6*8 cm^2

= 48 cm^2

So, Area of shaded region

= Area of circle -Area of rectangle

=( 157-48)cm^2

= 109 cm^2

hope it helps

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Answer 2

area of shaded region = Ar of circle- Ar of rectangle

Area of circle = πr^2

and area of rectangle = Length X breadth

= 6x8= 48cm^2

now .., length of one of the diagonal BD =?

by Pythagoras

BD= √ AB^2 + AD ^2

BD =√ 36+48

BD = √ 84

BD = 9.16

Now, radius of circle = 4.58cm

so ...area of circle

= 3.14 x 4.58 x 4.58cm sq.

= 65.86 cm sq.

Ar of shaded region= 65.56 - 48 cm sq.

= 17.86 cm sq..

this is the required answer .

hope its helpful

cheers ..!