Given:-
An image.
To find the area of the figure.
The given image can be splited into three images,
A semi circle, A triangle, A rectangle.
So now the area of the circle can be founded by the formula,
[tex]\frac{\pi r^2}{2}[/tex]
Substituting we get,
[tex]\frac{\pir^2}{2}=\frac{3.14(3)}{2}^2=\frac{3.14(9)}{2}=\frac{28.26}{2}=14.13[/tex]
So the area of the circle is 28.26 sq units.
Now we find the area of the triangle by using the formula,
[tex]\frac{1}{2}bh[/tex]
Substituting the value. we get,
[tex]\frac{1}{2}bh=\frac{1}{2}(3)(5)=\frac{15}{2}=7.5[/tex]
So the area of the triangle is 7.5 sq units.
Now we find the area of the rectangle by using the formula,
[tex]lb[/tex]
Substituting the value. we get,
[tex]lb=5(6)=30[/tex]
So the area of the triangle is 30 sq units,
So now the total area is,
[tex]28.26+7.5+30=58.26+7.5=65.76[/tex]
So the total area is 65.76 sq units.
