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
#SPJ1
