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

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

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Hailey 4 months 2021-08-01T09:23:34+00:00 1 Answers 0 views 0

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    2021-08-01T09:25:15+00:00

    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

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