The radius of a circle is increased by 35 percent. What will be the percentage increase in its area?

Correct option is C

Given:
The radius of a circle is increased by 35%.
Formula Used:
Percentage increase in area = $$\left( \frac{\text{New Area} - \text{Original Area}}{\text{Original Area}} \right) \times 100$$​​
Since area A of a circle is πr², if radius increases by x%, then the area increases by $$2 \times x+ \frac{x^2}{100}$$​
Solution:
Given increase in radius = 35%
Percentage increase in area = $$2 \times 35 + \frac{35^2}{100}$$​
Percentage increase in area = 70 + 12.25 = 82.25%