Question

(CBSE 2014)
14. (a) In the figure (i) given below, ABC is a right angled triangle
, 2B = 90°, AB = 28 cm
and BC = 21 cm. With AC as diameter a semicircle is drawn and with BC as radius
a quarter circle is drawn. Find the area of the shaded region.
(b) In the figure (ii) given below, ABC is a right triangle right angled at A. Semicircles
are described on AB, BC and AC as diameters. Find the area of the shaded region.
(CBSE 2013)
A
28 cm
4 cm
3 cm
21 cm
C
C с
B.
(ii)​

Answer 1

Answer:

ANSWER

Given ∠B=90

∘

,AB=28cm,BC=21cm

Area of shaded region=ar△ABC+area of semicircle AC-ar quarter circle BC

=

2

1

×BC×AB+

2

1

×π(

2

AC

)

2

−

4

1

×π(BC)

2

=[

2

1

×21×28]+[

2

1

×

7

22

×

4

1

(

28

2

+21

2

)

2

]−

4

1

×

7

22

×21×21

=294+[

28

11

×1225]−346.5

=294+481.25−346.5=428.75㎠

Answer 2

Answer:

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