Answer:
A=38.24
Step-by-step explanation:
Compound Area
The figure shows a shape formed by two shapes: Half a circle and a trapezium.
The circle has a radius of r=5.2/2=2.6 and the trapezium has a height of h=6.5 and bases b1=5.2 and b2=3.3.
The area of half a circle is:
[tex]\displaystyle A_c=\frac{\pi r^2}{2}[/tex]
Using pi = 3.14:
[tex]\displaystyle A_c=\frac{3.14\cdot 2.6^2}{2}=10.6132[/tex]
The area of the trapezium is:
[tex]\displaystyle A_t=\frac{b_1+b_2}{2}.h[/tex]
[tex]\displaystyle A_t=\frac{5.2+3.3}{2}\cdot 6.5=27.625[/tex]
The total area of the figure is:
[tex]A=10.6132+27.625=38.2382[/tex]
Rouning to the nearest hundredth:
A=38.24
