If radius of a circle is increased by 17%, then the increase in its area is:

36.89% 44.8% 30.89% 26.78%

36.89%

Total increased % in area = r% + r% + \(\frac{r × r}{100}\) %                                      = 17% + 17% + \(\frac{17 × 17}{100}\)%                                      = 34% + 2.89% ⇒ 36.89%