Answer:
[tex]185.43 mm^2[/tex]
Step-by-step explanation:
Radius of semicircle = 8.5 mm
Area of semicircle = [tex]\frac{\pi r^2}{2}[/tex]
= [tex]\frac{3.14 (8.5)^2}{2}[/tex]
= [tex]113.4325 mm^2[/tex]
Area of triangle = [tex]\frac{1}{2} \times Base \times Height[/tex]
Area of triangle in figure= [tex]\frac{1}{2} \times 12 \times 12[/tex]
= [tex]72 mm^2[/tex]
So, Area of the figure = Area of semicircle +Area of triangle
= [tex]113.4325 mm^2+72 mm^2[/tex]
= [tex]185.43 mm^2[/tex]
Thus Option B is correct.
Hence the total area of the composite figure rounded to the nearest hundredth is [tex]185.43 mm^2[/tex]
