An infinitely large non-conducting plane of uniform surface charge density \( \sigma \) has circ...

An infinitely large non-conducting plane of uniform surface charge density \( \sigma \) has circular aperture of certain radius carved out from it. The electric field at a point which is at a distance \( a \) from the center of the aperture (perpendicular to the plane) is \( \frac{\sigma}{2 \sqrt{2} \epsilon_{0}} \). Find the radius of aperture