ANSWER:
The surface area of the star is 3.2700 x [tex]10^{8}[/tex] square kilometres.
EXPLANATIONS:
Diameter of the star = 1.8083 x [tex]10^{4}[/tex] Km.
Surface area of the star = 4[tex]n^{2}[/tex]
Where n is the radius of the star.
So that;
n = [tex]\frac{ 1.8083 * 10^{4} }{2}[/tex]
= 0.90415 x [tex]10^{4}[/tex]
n = 0.90415 x [tex]10^{4}[/tex] Km
Thus,
Surface area = 4 x [tex](0.90415*10^{4} )^{2}[/tex]
= 326994889
Surface area = 3.2700 x [tex]10^{8}[/tex] [tex]km^{2}[/tex]
Therefore, the surface area of the star is 3.2700 x [tex]10^{8}[/tex] square kilometres.
