Question : If the radius of a circle is increased by 50%, then what will be the percentage increase in the area of the circle?
Option 1: 225
Option 2: 125
Option 3: 150
Option 4: 175
Correct Answer: 125
Solution : Let the radius of the original circle = $r$ So, the area of the original circle = $\pi r^2$ Radius of circle after 50% increase = $r+\frac{50r}{100} =1.5r$ Area of new circle = $\pi \times 1.5^2 = 2.25r^2$ Percentage increase in area = $\frac{2.25\pi r^2- \pi r^2}{\pi ^2}\times 100$ = 125% Hence, the correct answer is 125.
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