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To estimate area enclosed between the x-axis and a curve on a certain bounded region you can use rectangles or parallelograms.
The answer depends on what expression you do have and for what kind of shape!
A binomial is an algebraic expression. It does not have an area.
The region occupied by a close figure is the area.
The area of the shaded region can be gotten by multiplying the area of the circle by the subtended angle of the sector.