Question

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.

Answer 1

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

What is the area of a sector?

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

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