Answer:
Area shaded blue = 294.5 m^2 (to the nearest tenth)
Step-by-step explanation:
Refer to the attached figure.
Consider sector patterned in orange
radius = 11.1 m
angle of sector = 360-130 = 230 degrees
area of sector = (angle / 360) * area of complete circle
A1 = (230/360)*pi * 11.1^2
= 78.7175 pi
= 247.298 m^2
Area of right triangle with hypotenuse, L, and one of the angles, x, known
= (Lsin(x))*L(cos(x)/2
= L^2 sin(2x)/4
A2 = 2* (11.1^2 sin(130/2)/4)
= 11.1^2 * sin(65) / 2
= 47.192 m^2
Area shaded blue
= A1+A2
= 247.298 + 47.192
= 294.49 m^2
