Deriving expressions from transfer function of state variable filter?
The transfer function of a second-order low pass filter is given by (reference):

$$H(s)=\frac{\omega_0^2}{s^2+2\zeta\omega_0 s+\omega_0^2}\tag{1}$$

where \$\omega_0\$ is the resonant frequency (in radians), and \$\zeta\$ is the damping ratio.

Comparing \$(1)\$ to your transfer function you get

$$\omega_0=\sqrt{K_1K_2}$$

and

$$\zeta=\frac12\sqrt{\frac{K_1}{K_2}}$$