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OlgaM077 [116]
2 years ago
10

Kiran bought a wedge with a central angle of pi/2 radians and a radius of 3 inches. What is the area of the top surface of this

wedge? Round your answer to the nearest hundredth.
Mathematics
1 answer:
VMariaS [17]2 years ago
5 0

The area of the top surface of this wedge is 14.14 inches².

<h3>What is the area of a sector?</h3>

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 = \mathbf{\dfrac{\theta}{360}\times 2 \pi r^2 }

where;

  • Central angle θ = π/2
  • radius = 3 inches

Area of a sector = \mathbf{\dfrac{\pi/2}{360}\times 2 \pi (3)^2 }

Area of a sector = \mathbf{\dfrac{90}{360}\times 2 \pi \times 9 }

Area of a sector = 14.14 inches²

Learn more about the area of a sector here:

brainly.com/question/22972014

#SPJ1

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