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Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
Sector Area =
angle of sector
360
tor) πr²
Sector Area = [?] cm²
Round to four decimal places.
14 cm
46°
14 cm

Follow The Steps To Find The Area Of The Shaded Region First Use The Formula Below To Find The Area Of The Whole Sector Sector Area Angle Of Sector 360 Tor Πr S class=

Sagot :

Abidemiokinidn

The area of the shaded part is 8.1447cm²

Area of a sector

The formula to calculate the area of the shaded region is expressed as:
Area of the shaded region = Area of sector - Area of triangle

Determine the area of the sector

Area of sector = r²β/2

Area of sector = 14²(46π/180)/2

Area of sector = 78.64 cm²

Determine the area of triangle

Area of triangle = 1/2r²sinβ

Area of triangle = 1/2(14²sin46)

Area of triangle = 140.99/2

Area of triangle = 70.49 cm²

Area of shaded part = 78.64 cm² -  70.49 cm²

Area of shaded part = 8.1447cm²

Hence the area of the shaded part is 8.1447cm²

Learn more on area of segment here: https://brainly.com/question/22599425

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