Area of semicircle =
[tex] \frac{ {\pi \: r}^{2}}{2} [/tex]
Area of the given semicircle = 1232 cm^2
[tex] \frac{ {\pi \: r}^{2}}{2} = 1232 \\ = > {\pi \: r}^{2} =( 1232 \times 2) \\ = > \frac{22}{7} {r}^{2} = 2464 \\ = > {r}^{2} = ( \frac{2464 \times 7}{22} ) \\ = > {r}^{2} = 784 \\ = > r = \sqrt{784} \\ = > r = 28cm[/tex]
[tex]d = r \times 2 \\ d = (28 \times 2 )cm\\ d = 56cm[/tex]
Hence, the diameter of the circle is 56cm
