these are just two semi-circles, one with a diameter of 22 and the other with a diameter of 30 - 22, or 8, and therefore their radius are 11 and 4 respectively.
[tex] \bf \textit{area of a semi-circle}\\\\
A=\cfrac{\pi r^2}{2}~~,~~ \stackrel{r=11}{A=\cfrac{\pi 11^2}{2}}\implies A=\cfrac{121\pi }{2}~~,~~ \stackrel{r=4}{A=\cfrac{\pi 4^2}{2}}\implies A=8\pi \\\\
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\stackrel{\textit{total area of the figure}}{\cfrac{121\pi }{2}+8\pi }\implies \cfrac{121\pi +16\pi }{2}\implies \cfrac{137\pi }{2} [/tex]
