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Byju's Answer
Standard VII
Mathematics
Area of a Circle
a The areas o...
Question
(a) The areas of two circles are in the ratio
4
:
9
. Find the ratio of their circumferences.
(b) The circumference of two circles is in the ratio
3
:
4
. Find the ratio of their areas.
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Solution
a) Area of two circles in ratio
=
4
:
9
π
r
2
1
:
π
r
2
2
=
4
:
9
r
2
1
r
2
2
=
4
9
r
1
r
2
=
2
3
Circumference
=
2
π
r
1
:
2
π
r
2
=
2
π
×
2
2
π
×
3
=
2
:
3
Answer =
2
:
3
b)Circumference of circle ratios
=
3
:
4
⟹
r
1
r
2
=
3
4
Area of circles
=
π
r
2
1
π
r
2
2
=
r
2
1
r
2
2
=
3
2
4
2
=
9
16
=
9
:
16
Answer =
9
:
16
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Q.
If the circumference of two circle are in the ratio
3
:
4.
Find the ratio of their areas.
Q.
The circumference of two circles are in the ratio 2 : 3. Find the ratio of their areas.
Q.
The circumferences of two circles are in the ratio 3 : 4. The ratio of their areas is
(a) 3: 4
(b) 4 : 3
(c) 9 : 16
(d) 16: 9
Q.
The areas of two circles are in the ratio 4 : 9. The ratio of their circumferences is
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