Answer:
1,257 km
Step-by-step explanation:
The path of one satellite has the equation
[tex]x^2 + y^2 = 56,250,000\\ \\x^2+y^2=7,500^2[/tex]
This is the equation of the circle with the center at the origin (Eartg) and the radius of 7,500 km.
The orbit of the other satellite is 200 km farther from the centre of Earth, so the radius of this orbit is 7,700 km.
Find the distances travelled by two satellites:
1st satellite:
[tex]D_1=2\pi r_1=2\pi \cdot 7,500=15,000\pi \ km[/tex]
2nd satellite:
[tex]D_2=2\pi r_2=2\pi \cdot 7,700=15,400\pi \ km[/tex]
Difference:
[tex]D_2-D_1=15,400\pi -15,000\pi =400\pi \approx 1,257\ km[/tex]
