Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

  27π cm^2

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr^2

So, the area of a circle with radius 6 cm is ...

  A = π(6 cm)^2 = 36π cm^2

The shaded portion of the given figure is 3/4 of a full circle of radius 6 cm, so has an area of ...

  (3/4)(36π cm^2) = 27π cm^2 . . . . shaded area

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

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