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UPSC CDS I 2019 Math Paper
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© examsnet.com
Question : 78
Total: 100
Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles ?
[2019 CDS-I]
154 square cm
308 square cm
462 square cm
616 square cm
Validate
Solution:
For smaller circle:
2
π
r
=
44
cm
2
×
22
7
×
r
=
44
⇒
r
=
7
c
m
For larger circle:
2
π
r
=
88
cm
2
×
22
7
×
R
=
88
⇒
R
=
14
cm
Area between the two circles
=
π
(
R
2
−
r
2
)
=
22
7
(
14
2
−
7
2
)
=
462
c
m
2
© examsnet.com
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