Question

Calculate :
(i) the area of the square ABCD (i) the area of the shaded region.
(l
2. (a) Find the area of the shaded region if the radius of each circle is 4 cm.
D
С
4 cm
4 cm
4 cm
4 cm
А
B
2. (b) Find the area of the shaded region of radii of the two concentric circ
14 cm and 21 cm respectively and Z AOC = 30°.
A А
BI
30°​

Answer 1

Answer:

Area of square =Side

2

=8

2

=64 sq cm

Area of shaded portion = Double area of segment formed by diagonal of the square

Area of two quadrants =

2

1

πr

2

=

2

1

×3.14×8

2

=100.48 sq cm

Area of square - Area of two triangles formed by radii and the cord

So,

Area of shaded portion =100.48−64

=36.48sq cm