Find the area of the shaded region.

27π

Step-by-step explanation:

Imagine that this circle was complete. As you can see, only 3 / 4th of the circle remains, with respect to this whole circle. This is not an assumption, though it does appear so. The portion missing forms a right angle with the radii, and thus by definition, that portion is a quarter of a circle.

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The simplest approach is to assume this circle to be complete, and solve for that area - provided the radii being 6 inches. Afterward we can take 3 / 4th of this area, solving for the area of the shaded region. After all, this circle is 3 / 4ths of our " complete circle. "

Area of an Imaginary " Complete Circle " = π = π = 36π,

Area of Shaded Region ( 3 / 4th of the " Complete Circle " ) = ( 36π ) = 27π

27π is the exact area of the shaded region. If you want an approximated area, take π as 3.14, or a similar quantity to that.

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step-by-step explanation: