If the diameter of a circle is increases by 15%, then what will be the percentage increase in its area?
Answer & explanation
Correct answer: option 4
15% = \(\frac{3}{20}\)
Diameter 20 : 23
Radius 20 : 23
Area 202 : 232
400 : 529 ⇒ 129 (diff.)
Percentage change in area = \(\frac{129}{400}\) × 100 = 32.25%