Question

3 cm
Find the area of the shaded portion in the
following figures. (Take = 3.14.)
T
R
(a) S
2 x B x H
24 m
P
36 m
Q
(b)
A
120 cm
B
40 cm
120 cm
100 cm
Э
7 cm
D
F
E
120 cm
40 cm
5​

Answer 1

Answer:

AC is the diameter of the circle.

In the right angled triangle ADC, we have

AC

2

=AD

2

+DC

2

(Pythagoras theorem)

AC

2

=5

2

+12

2

AC

2

=25+144

AC

2

=169

AC=13 cm

Radius of the circle =

2

AC

=

2

13

=6.5 cm

Area of the shaded part = Area of the circle − Area of the rectangle

= πr

2

−lb

= 3.14×6.5

2

−(5×12)

=132.665−60

=72.665 cm

2