Calculate the area of the shaded region

Answer:
48.0 cm² (3 sf)
Step-by-step explanation:
Shaded triangle:
Area of triangle - area of circle = [tex](\frac{1}{2} \times 11 \times 11)-(\pi 3.5^2)=60.5-12.25\pi [/tex]
Shaded rectangle:
Area of rectangle - area of semicircle = [tex](\frac{11}{2} \times11)-\frac{1}{2} \pi 5.5^2=60.5-15.125\pi [/tex]
So total shaded region:
[tex](60.5-12.25\pi)+2(60.5-15.125\pi )=47.98231222...[/tex]