Kiran bought a wedge with a central angle of radians and radius 3 inches. What
s the area of the top surface of this wedge?

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vintechnology vintechnology · Answer 1 · 2022-06-21T18:15:42+02:00

The top surface area of the wedge with central angle of π / 2 radian is 9π / 4 inches square

The area of the top surface of the the wedge is the area of a sector.

Therefore,

area of the top surface = ∅r² / 2

area of the top surface = π / 2 × 3² × 1 / 2

area of the top surface = π / 2 × 9 × 1 / 2

area of the top surface = 9π / 4

area of the top surface = 9π / 4 inches squared

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ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-06-21T20:44:07+02:00

The top surface area of the wedge with central angle of π / 2 is 9π / 4 square inches.

The space enclosed by the sector of a circle is called the area of the sector.

Here, Radius = 3 inches

area of the top surface = ∅r² / 2

= π / 2 × 3² × 1 / 2

= π / 2 × 9 × 1 / 2

= 9π / 4

area of the top surface = 9π / 4 in²

Thus, the area of the top surface is 9π / 4 square inches.

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