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Byju's Answer
Standard VII
Mathematics
Circumference of a Circle
The circumfer...
Question
The circumferences of two circles are in the ratio 2: 3. What is the ratio between their areas?
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Solution
Let the the radii of the two circles be r and R, the circumferences of the circles be c and C and the areas of the two circles be a and A.
Now,
c
C
=
2
3
⇒
2
π
r
2
π
R
=
2
3
⇒
r
R
=
2
3
Now, the ratio between their areas is given by
a
A
=
π
r
2
π
R
2
=
r
R
2
=
2
3
2
=
4
9
Hence, the ratio between their areas is 4 : 9.
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