The diameter of a circle is increased by 100%. What is the percentage increase in area?

250% 100% 150% 300%

300%

Let, diameter of the circle be 14 cm So, area = πr2 = \(\frac{22 }{ 7}\) x 7 x 7 = 154 cm2 Now, diameter is increased by 100% i.e. 28 cm So, area = πr2 = \(\frac{22 }{ 7}\) x 14 x 14 = 616 cm2 Increase in the area = 462 cm2 Percentage increase = \(\frac{ 462}{154 }\) x 100 = 300%