# 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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