Question

I only know the area of a circle but not sure how to do this.​

Answer 1

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 $360$° to complete its whole area.

So, we can find area of a sector of a circle by the formula =(∅/$360$°)$\pi r$²

To find area of semicircle we take as

area of semicircle= $\frac{1}{2}\pi r$² or    ($180$°/$360$°)$\pi r$²            : as semicircle forms ∠180°

              $\pi =\frac{22}{7} = 3.14$

Similarly, for above figure given values are ∅$=150$° and $r=40$ yards

So, the area of the given sector is =   ($155$°/$360$°)$*3.14*40*40$

                                                         =   $0.431*3.14*40*40$

                        Area of the sector = 2165.34 square yards