A large charged plane having surface charge density \(4.9 \times 10^{-6} \, \text{C/m}^2\) lies in the x-y plane. A circular plane of radius 1 cm is lying completely in the region where x, y, and z coordinates are all positive. When the plane’s normal makes an angle \(60^\circ\) with the z-axis, find the electric flux through the circular plane. \(\left(\frac{1}{4 \pi \epsilon_0} = 9 \times 10^9 \, \text{Nm}^2/\text{C}^2\right)\)