Let radius of two circles be r_{1} and r_{2} then their circumferences will be 2πr_{1} : 2πr_{2}

= r_{1}:r_{2}

But circumference ratio is given as 2 : 3

r_{1}: r_{2}=2:3

Ratio of areas = πr_{2}^{2}: πr_{2} ^{2}

= (r_{1/} r_{2})_{2}

= (2/3)^{2}

=4/9

=4:9

Therefore, ratio of areas = 4:9