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CAT Exam Model Paper 8 with solutions for free online practice
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© examsnet.com
Question : 16
Total: 60
Two circles, touching each other, are drawn inside a square of side 10 cm. Each circle also touches exactly two sides of the square. What is the maximum possible value (in cm) of the sum of their radii?
10
(
2
−
√
2
)
10
(
2
+
√
2
)
10
√
2
10
Validate
Solution:
The figure would look like the one given below:
From the above figure.
R
√
2
+
R
+
r
+
r
√
2
=
10
√
2
⇒
R
+
r
=
10
√
2
√
2
+
1
=
10
(
2
−
√
2
)
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