In the figure below a butterfly net is in a uniform electric

In the figure below, a butterfly net is in a uniform electric field of magnitude E = 5.0 mN/C. The rim, a circle of radius a = 12 cm, is aligned perpendicular to the field. The net contains no net charge. Find the electric flux through the netting.
_____ N·m²/C

I keep getting an answer of 2.26e-4 and webassign says it is incorrect. Help is much appreciated and good feedback for the right answer.

Solution

because looking at the left side the A points to the left and the E points to the right. So, the angle between the two is 180 degrees

The flux through the netting is the same, by Gauss\'law (since there is no net charge),as the flux through the rim. The

fl ux is therefore

phi= E A cos 180 =5*10^-3 *3.14* 144*10^-4 = (-) 2.26*10^-4 N/Cm²