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Byju's Answer
Standard X
Mathematics
Surface Area of Combined Figures
Calculate the...
Question
Calculate the area of the shaded part.
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Solution
REF.Image
We are given, the
Diameter of circle
is d = 16 m.
So, radius =
16
2
=
8
m
.
Now, Area of shaded region
= Area of circle - Area of
△
A
B
C
.
In
△
A
B
C
Height is 8 m
& base is 16 m
Area of Circle =
π
r
2
=
π
(
8
)
2
=
64
π
m
2
& Area of
△
A
B
C
=
1
2
×
b
×
h
=
1
2
×
16
×
8
=
64
m
2
So, Area of shaded region
is
=
64
π
−
64
=
64
(
π
−
1
)
=
64
(
3.14
−
1
)
=
64
(
2.14
)
=
136.96
m
2
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