Math

If the diameter of a circle P is 40 percent of the diameter of circle Q, then the area of circle P is what percentage of the area of circle Q?

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  1. dP = diameter of circle P

    dQ = diameter of circle Q

    AP = area of circle P

    AQ = area of circle Q

    40% = 40 / 100 = 0.4

    dP = 0.4 dQ

    Area of circle = d² ∙ π /4

    AQ = dQ² ∙ π /4

    AP = dP² ∙ π /4

    AP = ( 0.4 dQ )² ∙ π /4

    AP = 0.16 dQ²∙ π /4

    AP / AQ = 0.16 = 16%

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