Circumference of the circle [tex]=103[/tex] cm
i.e., [tex]C = 2 \pi r = 103[/tex]
i.e., [tex]r = \frac{103}{2 \pi}[/tex]
Area of the circle is given by
[tex]A = \pi r^2[/tex]
[tex]A = \pi (\frac{103}{2 \pi})^2[/tex]
[tex]A = \pi (\frac{10609}{4 \pi^2})[/tex]
[tex]A =\frac{10609}{4 \pi}[/tex]
Therefore, the area of the circle is: [tex]A =\frac{10609}{4 \pi}[/tex] [tex]cm^2[/tex]