Here, we report a Monte Carlo study of percolation threshold for a two-dimensional model of nanofluids consisting of conducting sticks and circles. We investigate the percolation criterion for circular nanoparticles and compare it with that of sticklike ones. On the basis of this criterion there is a linear relation between critical concentration and the inverse square of particle length. The slope of this line which is proportional to the total excluded area of the system depends both on the geometrical shape and on the degree of anisotropy of particles. The calculations confirm that the more isotropic the system is, the smaller slope, i.e., lower critical concentration, it has.