Answer:
speed = 796142.197 km/hr
Step-by-step explanation:
solution
we consider here orbit around galactic center is circular so
circumference formula will be here
circumference C = 2πr  ........1
here we know r = 27000
so
circumference C = 2 π × 27000
C = 169560 light year
so
we travel 169560 light year in 230000000 years
so distance will be
distance = [tex]\frac{169560}{230000000}[/tex]
distance = 0.00073721 light year/year
and we know 1 year = 8760 hours
so 1 light year = 9.46027 ×[tex]10^{12}[/tex] km
so
sped of moving is
speed = 0.00073721 × 9.46027 × [tex]\frac{10^{12}}{8760}[/tex]  km/hr
speed = 796142.197 km/hr