Question

when a circle diameter is increased 40% how many increase in area of circle

Answer 1

Answer: 96 % increase in area

Step-by-step explanation:

Original area of circle = (pi / 4) d^2

Final area (when d is increased to 40 % ) = (pi /4 ) ((1.4 d) ^2)

Percent Increase in area = (pi /4) (( 1.4 d) ^2 - d^2))

                                         = ((pi /4) (0.96 d^2)) * 100

                                         = 96 % (pi /4) d^2)