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CAT 2015 Quantitative Ability
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© examsnet.com
Question : 3
Total: 34
The smallest possible circle touching two opposite sides of a rectangle is cut-out from a rectangle of area 60 sq. units. If the area of this circle is
3
2
times the area left out in the rectangle, find the length of the smaller side of the rectangle.
6
√
π
units
9
√
π
units
12
√
π
units
15
√
π
units
Validate
Solution:
Let ‘a’ be the length of smaller side
∴
Radius
=
a
2
⇒
π
(
a
2
)
2
=
3
2
[
60
−
π
(
a
2
)
2
]
⇒
5
π
(
a
2
)
2
=
180
⇒
π
a
2
4
=
36
a
=
√
36
×
4
π
=
12
√
π
units
© examsnet.com
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