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UGC NET Paper 1 GA 2013 June Solved Paper
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© examsnet.com
Question : 21
Total: 60
If the radius of a circle is increased by 50%, the perimeter of the circle will increase by
20%
30%
40%
50%
Validate
Solution:
Perimeter of circle (p)
=
2
π
r
when radius (r) increased by 50%
r
′
=
r
+
r
×
50
100
=
3
r
2
New Perimeter (p') = 2πr’ = 3πr
Increase in perimeter p' – p = 3πr – 2πr = πr
Percentage increment =
π
r
2
π
r
×
100
=
50
%
© examsnet.com
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