A) 800%
B) 400%
C) 200%
D) None of the above
Correct Answer: A
Solution :
Let the initial radius be \[100cm.\] Area = \[\pi \times {{100}^{2}}\,c{{m}^{2}}=10000\pi \,c{{m}^{2}}\] New radius = 300% of 100 = 300 cm New Area \[\pi \,{{\left( 300 \right)}^{2}}=90000\,\pi \,c{{m}^{2}}\] % increase in Area = \[\frac{90000\pi -10000\pi }{10000\pi }\times 100\] = \[\frac{800000\pi }{10000\pi }\times 100=~\mathbf{800}%\]
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