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Standard VII
Mathematics
Question
If the radius of a circle is increased by
10
%
, then the corresponding area of new circle will be _______.
121
π
r
2
12.1
π
r
2
1.21
π
r
2
None of the given three
A
1.21
π
r
2
B
None of the given three
C
121
π
r
2
D
12.1
π
r
2
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Solution
Verified by Toppr
Let the original radius be
x
.
Then, new radius
=
x
+
10
100
x
=
1
⋅
1
x
.
Therefore, area
=
π
r
2
=
π
(
1
⋅
1
x
)
2
=
1
⋅
21
x
2
)
=
π
(
1
⋅
21
π
x
2
=
1
⋅
21
π
r
2
.
Hence, option
C
is correct.
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