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.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
