Answer:
2165.34 square yards
Step-by-step explanation:
It is as simple as finding the area of a circle. The given figure is a small sector of a circle with given angle '∅' and radius 'r'.
A circle completes [tex]360[/tex]° to complete its whole area.
So, we can find area of a sector of a circle by the formula =(∅/[tex]360[/tex]°)[tex]\pi r[/tex]²
To find area of semicircle we take as
area of semicircle= [tex]\frac{1}{2}\pi r[/tex]² or ([tex]180[/tex]°/[tex]360[/tex]°)[tex]\pi r[/tex]² : as semicircle forms ∠180°
[tex]\pi =\frac{22}{7} = 3.14[/tex]
Similarly, for above figure given values are ∅[tex]=150[/tex]° and [tex]r=40[/tex] yards
So, the area of the given sector is = ([tex]155[/tex]°/[tex]360[/tex]°)[tex]*3.14*40*40[/tex]
= [tex]0.431*3.14*40*40[/tex]
Area of the sector = 2165.34 square yards
