27: Calculating Electric Flux through a Disk

INTRO:
Suppose a disk with area A is placed in a uniform electric field of magnitude E. The disk is oriented so that the vector normal to its surface, n^, makes an angle θ with the electric field, as shown in the figure. (Figure 1)

Figure 1

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PART A:

What is the electric flux Φ_E through the surface of the disk that is facing right (the normal vector to this surface is shown in the figure)? Assume that the presence of the disk does not interfere with the electric field.
Express your answer in terms of E, A, and θ

SOLUTION:

<< explanation to be added >>
Φ_E = E⋅A⋅cos(θ)