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Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).
The pentagon's area is the sum of the 5 triangles that comprise it. This is
where the factor of 2 accounts for the top and bottom. The walls have an area of 5 rectangles
where the factor of 2 accounts for the top and bottom. The walls have an area of 5 rectangles