Question

What is the area of the shaded sector of the circle? 20pi units squared 40pi units squared 180pi units squared 400

Answer 1

The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

What is the sector of a circle?

A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.

The radius of the sector =20 units

Central angle subtended by sector = 162° = 162π/180 radians

As we know the area of a sector= 0.5r²α

where r is the radius and α is the central angle.

So, the area of the given sector = 0.5*20²* 162π/180

The area of the given sector = 180π unit²

Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

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