A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The area of the shaded region is 226.2724 m².
What is a circle?
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The area of the sector that is making a 123° angle at the centre is,
Area of the sector = π × (18.6 m)² × (123/360)
= 371.3456 m²
The area of the triangle is,
Area of the triangle = 0.5 × (18.6 m)² × (Sin 123°) = 145.0732 m²
Now, the area of the shaded region is,
Area of the shaded region = 371.3456 m² - 145.0732 m²
= 226.2724 m²
Hence, the area of the shaded region is 226.2724 m².
The complete question is mentioned in the below image.
Learn more about Circle:
https://brainly.com/question/11833983
#SPJ2
