Find the area of the shaded region.

Area of the shaded region = 141.73 m²

Step-by-step explanation:

Let the figure be divided into three 2D parts.

They are:

let us find the area of these parts separately

Rectangular portion:

Length= 12 m

Breadth= 3.5 m

We know that area of rectangle is equal to length x breadth

⇒area = 12 x 3.5

           = 42 m²

Semi-Circular band:

Width of the band =3.5 m

Radius of inner side = m= 3.5 m

Radius of outer side = 3.5 + width= 3.5+3.5

                                  =7 m

We know that area of semi-circle is

Area of band= Area of big semi-circle- Area of small semi-circle

                     =

                     =

                     =57.73 m²

Area of the shaded region= 2*area of rectangle+area of semi-Circular band

                                           =

                                           =141.73 m²

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.