A gas flows steadily through a circular duct with a mass flow rate of $12k\frac{g}{s}.$ The area of the duct's cross$-$sections is varied and not uniform. The inlet and exit conditions are as follows. Inlet $V_1=500\frac{m}{s},A_1=179\mathrm{.}85c{m}^2$; Exit: $V_2=585\frac{m}{s},v_2=1\mathrm{.}1894\frac{m^3}{k}g$

Part A

Determine the exit area.

Express your answer in squared centimeters to five significant figures.

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