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Byju's Answer
Standard VIII
Mathematics
Area of Combined Shapes
Find the area...
Question
Find the area of given figure, if the diameter BC is 14 cm and AD = 16 cm.
A
56
c
m
2
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B
77
c
m
2
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C
112
c
m
2
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D
189
c
m
2
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Solution
The correct option is
D
189
c
m
2
Given
BC = diameter = 14 cm
Hence
BD = DC = Radius =
d
i
a
m
e
t
e
r
2
=
14
2
= 7 cm
Area of given figure
= Area of
△
ABC + Area of semicircle
Area of
△
ABC
=
1
2
×
b
a
s
e
×
h
e
i
g
h
t
=
1
2
×
B
C
×
A
D
=
1
2
×
14
×
16
=
7
×
16
=
112
c
m
2
Area of semicircle
=
1
2
×
π
r
2
=
1
2
×
22
7
×
D
C
2
=
1
2
×
22
7
×
7
2
=
1
2
×
22
7
×
49
=
22
×
49
7
×
2
=
11
×
7
=
77
c
m
2
Therefore, area of the given figure
= 112 + 77
= 189
c
m
2
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4
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