C}_{
1
}}:{{C}_{2}}=
4
:9\]We have, \[\frac{{{A}_{1}}}{{{A}_{2}}}=\frac{C_{1}^{2}}{C_{2}^{2}}=\frac{{{4}^{2}}}{{{9}^{2}}}=\frac{16}{
81
}\] \[\therefore \,\,{{A}_{1}}:{{A}_{2}}=16:81\]