+12 Two satellites are orbiting earth. the path of one has the equation x2 + y2 = 2 250 000. the orbit of the other is 200km farther from the centre of Earth. In one orbit, how much farther does the second satellite travel than the first one?
+37084 For the equation of a circle the 2250000 = r^2 so r1 = 1500 r2=1700 km
Circumference for r1 = 2 x pi x 1500 km =9424.78 km
r2 = 2 x pi x 1700 = 10681.42
Difference r2 orbit is 1256.64 km longer in one orbit
+129840 Note that all we really need to do is to find 2pi * 200 ≈ 1256.64 km
The radius of the first satellite = R1
The radius of the second satellite = R1 + 200
So......orbit of second satellite - orbit of first satellite =
2pi [R1 + 200] - 2pi [ R1] = 2pi [ R1 + 200 - R1] = 2pi *200
