Question

ABCD is a parallelogram. a semi circle with centre O and diameter AB has been drawn and it passes through D. If AB 12CM ​

Answer 1

Step-by-step explanation:

Area of Parallelogram ABCD=Base×height

=12×6=72cm square

Now,

Area of sector OBD

=90/360×3.14×6×6

=28.26 cm square

Area of shaded region,

=Ar. of ABCD - AR. of Sector OBD

=72-28.26

=43.74 cm square.

Answer 2

Given: OD is perpendicular to AB, AB = 12 cm

To find: Area of shaded region

Solution:

• Very first, we need to find the area of the sector DOB,

• So, area of 1/4 of a circle is:

        =πr²/4

        =(3.14 x 6 x 6) / 4

        =28.26 cm²

• So now, we need to find the area of parallelogram,

• So area of parallelogram is:

         =base x height

         =12 x 6 = 72 cm²

• Since we have calculated the area of the parallelogram and the sector,

• We can now calculate the area of the shaded region,

• So the Area of shaded region,

        area of ABCD - area of Sector BOD

        =72 - 28.26

        =43.74 cm²

Answer:

           So the Area of shaded region is 43.74 cm²