[tex] \bf \: Circumference \: of \: a \: circle = 2\pi \: r[/tex]
[tex] \implies22 = 2 \times \dfrac{22}{7} r[/tex]
[tex] \implies22 = \dfrac{44}{7} \times r[/tex]
[tex] \implies \: r = \dfrac{22 \times 7}{44} [/tex]
[tex] \implies \boxed{ r = \dfrac{7}{2} }[/tex]
Now,
[tex] \bf \: Area \: of \: circle = \pi {r}^{2} [/tex]
[tex] \rightarrow \: \frac{22}{7} \times ({ \frac{7}{2}) }^{2} [/tex]
[tex] \rightarrow \frac{22}{ \cancel7} \times \frac{ \cancel{49}}{4} [/tex]
[tex] \rightarrow \: 22 \times \frac{7}{4} [/tex]
[tex] \rightarrow \: 11 \times \frac{7}{2} [/tex]
[tex] \rightarrow \frac{77}{2} [/tex]
[tex] \rightarrow \: 38.5 \: cm {}^{2} [/tex]
Area of rectangle = 38.5 cm².
