Question

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24. The diameter of a circle is increased by 15%
the increase in the area of the circle is​

Answer 1

Step-by-step explanation:

original circle:

diameter= d

area of original circle= π d^2 / 4

diameter is 15% increased new circle formed

diameter of new circle=d(115) /100

= 23d/20

area of new circle= π (23d/20)^2 / 4

increase in area = new area-old area

= π (23d/20)^2 / 4 - π (d)^2 / 4

= πd^/4(23^2-20^2)/20^2

= πd^/4(23^2-20^2)/20^2

=πd^/(129)/1600

= 129 πd^/1600

the increase in the area of the circle is 129 πd^/1600