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Byju's Answer
Standard IX
Mathematics
Area of a Circle
In the given ...
Question
In the given figure, the area of the shaded portion is __________.
A
308
c
m
2
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B
462
c
m
2
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C
154
c
m
2
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D
150
c
m
2
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Solution
The correct option is
C
154
c
m
2
Radius of bigger semicircle is
r
=
14
c
m
Radius of smaller semicircle is
r
1
=
7
c
m
Area of shaded region
=
Area of bigger semicircle
−
Area of two smaller semicircles
Area of bigger semicircle
=
π
r
2
2
=
98
π
Area of two smaller semicircles
=
2
×
π
r
2
1
2
=
49
π
∴
Area of shaded region
=
49
π
=
154
c
m
2
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