Question

11. Find the area of the shaded portion of the given rectangle.
2 cm
8 cm
D
14 cm
6 cm
6 см
- 5 cm
9 см​

Answer 1

Answer:

ANSWER

⇒ Radius of semi-circle (r)=

4

14−6

=

4

8

=2cm

⇒ Side of a small square 2r=2×2=4cm

⇒ Area of big square =(side)

2

=(14)

2

=196cm

2

⇒ Area of a small square =(side)

2

=(4)

2

=16cm

2

⇒ Area of 4 semicircle =4×

2

πr

2

=4×

2

3.14×(2)

2

=25.12cm

2

∴ Area of shaded region = Area of a big square - Area of a small square - Area of a 4 semicircle.

∴ Area of shaded region=(196−16−25.12)cm

2

=154.88cm

2