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regular hexagon abcdef is inscribed in a circle p with a radius of 12 centimeters.

calculate the exact areas of circle p and regular hexagon abcdef.
find the exact area of the shaded region shown in the image above.
imagine circle p with regular inscribed octagon abcdefgh, rather than regular hexagon abcdef. in two or more complete sentences, describe the effect the number of sides of the polygon would have on the area of the shaded region.

the correct answer is c

you can rewrite it as follows: 2(24+30)

let f: r - > r and g: r - > r be two functions defined by f(x) = x + 1 and g(x) = x - 1.

let us prove whether these functions are inverses of each other by using composition.

f·g (x) = f(g(x)) = f(x - 1)

                      = (x - 1) + 1

                      = x

also, g·f (x) = g(f(x))

                  = g(x + 1)

                  = (x + 1) - 1

                  = x

hence, f and g are inverses of each other.

clearly, f·g : r - > r.

therefore, the domain of f·g is r = (-∝, ∝).