SSC CHSL 10 Jan 2017 Shift 2 Paper

Question : 88 of 100

Marks: +1, -0

If the radius of a circle is increased by 14% its area increases by

Solution:

Let radius = 10 cm
⇒ Area of circle =

π(10)^2=100π

sq. cm
If radius is increased by 14%, ⇒ New radius =

10+14/100×10=11.4

cm
New area =

π(11.4)^2=129.96π

sq. cm
⇒ % increase in area =

{129.96−100}/100×100

= 29.96%

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