The area of the top surface of this wedge is 14.14 inches².
The shape of the top surface of the wedge assumes the shape of a sector. So, to determine the area of the top surface of this wedge, we need to find the area of the sector.
Area of a sector = [tex]\mathbf{\dfrac{\theta}{360}\times 2 \pi r^2 }[/tex]
where;
Area of a sector = [tex]\mathbf{\dfrac{\pi/2}{360}\times 2 \pi (3)^2 }[/tex]
Area of a sector = [tex]\mathbf{\dfrac{90}{360}\times 2 \pi \times 9 }[/tex]
Area of a sector = 14.14 inches²
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