Answer :

Given:

Ratio of areas of two circles = 2:3


Let the two circles be C1 and C2 with radii ‘r1’ and ‘r2’.


Area of circle = πr2


Area of C1 = πr12


and Area of C2 = πr22


=


=


Taking square root on both sides, we get


=


=


Multiplying and dividing L.H.S. by ‘π’, we get


=


Multiplying and dividing L.H.S. by ‘2’, we get


=


As Circumference of circle = 2πr


=


Hence, the ratio between the circumferences of C1 and C2 is 2:3.


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