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Byju's Answer
Standard VII
Mathematics
Introduction and Value of Pi
If the circum...
Question
If the circumference of a circle increases from
4
π
to
8
π
, then its area is :
A
Halved
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B
Doubled
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C
Tripled
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D
Quadrupled
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Solution
The correct option is
C
Quadrupled
Let
C
1
,
r
1
,
A
1
be the circumference, radius and area of circle with circumference as
4
π
Let
C
2
,
r
2
,
A
2
be the circumference, radius and area of circle with circumference as
8
π
Given,
C
1
=
4
π
and ,
C
2
=
8
π
∴
C
1
C
2
=
4
π
8
π
⇒
2
π
r
1
2
π
r
2
=
4
8
⇒
r
1
r
2
=
1
2
Now,
A
1
A
2
=
π
r
1
2
π
r
2
2
=
>
A
1
A
2
=
(
1
2
)
2
⇒
A
1
A
2
=
1
4
⇒
A
2
=
4
A
1
∴
Area will be quadrupled.
Suggest Corrections
1
Similar questions
Q.
If the circumference of a circle increases from
4
π
to
8
π
what change occurs in its area?
Q.
If the circumference of a circle increases from 4π to 8π, then its area is
(a) halved
(b) doubled
(c) tripled
(d) quadrupled