The area of two circles are in ratio 16:25 find the ratio of their circumference.



Dear Student,

Let the radii of the two circles be a and b.Area of a circle = πr2where r is the radius.According to the question:πa2πb2 = 1625a2b2 = 1625ab2 = 1625 ab = 1625ab = 1625ab = 45Circumference of circle = 2πrRatio of circumference of the two circles = 2πa2πb= ab=45Hence, Ratio of circumference of the two circles is 4:5

Regards
 

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