Answer:
=293.7m²
Explanation:
Area of the shaded region = area of the circle-area of the minor segment.
The area of the minor segment is calculated as follows.
Area= Area of sector - area of the triangle bound by the radii.
=∅/360πr²-1/2r²sin∅, where r is the radius of the circle and ∅ the obtuse angle bound by the radii.
=130/360×π×11.1²-1/2×11.1²sin130
=93.43m²
Area of the whole circle =πr²
=π×11.1²
=387.08m²
Area of the shaded region
=387.08m²-93.43m²
=293.65m²
≅293.7m² to the nearest tenth.