Area of the whole sector = 1/2 r^2 theta ( theta in radians)
= 1/2 * 18.6^2 * 123 * pi/180 = 371.35 m^2
Area of the triangle = 1/2 r^2 sin theta = 1/2 * 18.6^2 * sin 123 = 145.07 m^2
Area of shaded segment = 371.35 - 145.07 = 229.3 m^2 to nearest tenth