Question

as AB=10 cm in quadrilateral having 2 semi circles each 2 sides draw 4 semicircles touching all the sides of the same​

Answer 1

Answer:

given

Side of square ABCD=10cm

Area of square ABCD=(side)

2

=10

2

=100sq.cm

Given semicircle is drawn with side of square as diameter.

So, Diameter of semicircle=Side of square=10cm

Radius of semicircle=

2

side

​

=

2

10

​

=5cm

Area of semi-circle AD=

2

1

​

×Area of circle

=

2

1

​

×πr

2

=

2

1

​

×3.14×5

2

=

2

3.14×25

​

Since radius is same for semi-circle AD,BC,AB,CD

Area of semi circleAD=Area of semi circle BC=Area of semicircle AB

=Area of semicircle CD=

2

3.14×25

​

Area of 4 semicircles−Area of shaded region=Area of square ABCD

Area of shaded region=Area of 4 semicircles−Area of square ABCD

=4×

2

3.14×25

​

−100=157−100=57cm

2