Find the area of the shaded region. Round the the nearest tenth.

Answer:226.084 sq.m.Step-by-step explanation:Radius of circle = 18.6 cmArea of sector = [tex]\frac{\theta}{360^{\circ} }\pi r^2[/tex]Area of sector = [tex]\frac{123}{360} \times 3.14 \times (18.6)^2[/tex]Area of sector = [tex]371.157 m^2[/tex]Area of triangle = [tex]\frac{1}{2} \times a \times b \times Sin x[/tex]a = OA = radius = 18.6 cmb = OB = radius = 18.6 cmx =123 °Substitute the values in the formulaArea of triangle = [tex]\frac{1}{2} \times 18.6 \times 18.6 \times Sin 123[/tex]Area of triangle = [tex]145.073 m^2[/tex]So, Area of shaded region = Area of sector - Area of triangle                                             =[tex]371.157 m^2-145.073 m^2[/tex]                                             =[tex]226.084 m^2[/tex]Hence the area of the shaded region is 226.084 sq.m.