Question

In a rectangle of 22 cm x 14 cm, a semi-circle is drawn with 14 cm as diameter. Find the area of remaining portion (fig. 12.56) (A.I.C.B.S.E. 2012) 14 cm 22 cm ​

Answer 1

Answer:

78cm

Step-by-step explanation:

Area of shaded region = Area of rectangle - Area of semi circle

=

l

×

b

−

1

2

π

r

2

=

21

×

14

−

1

2

×

22

7

×

7

×

7

=

294

−

77

=

217

cm

2

Perimeter of shaded region =

2

l

+

b

+

π

r

=

2

×

21

+

14

+

22

7

×

7

=

42

+

14

+

22

=

78

cm