A wire of length \(20 \mathrm{~m}\) is to be cut into two pieces. A piece of length \(l_1\) is bent to make a square of …

A wire of length \(20 \mathrm{~m}\) is to be cut into two pieces. A piece of length \(l_1\) is bent to make a square of area \(A_1\) and the other piece of length \(l_2\) is made into a circle of area \(A_2\). If \(2 A_1+3 A_2\) is minimum then \(\left(\pi l_1\right): l_2\) is equal to:

[JEE Main 2023, 31 Jan (Shift 1)]