Aweather satellite in circular orbit around earth completes one orbit every 8 hours. the radius of earth is about 6,400 km and the satellite is positioned 3,800 km above the earth. how far does the satellite travel in 1 hour? round your answer to the nearest kilometer.

The satellite travels 8,007 km in 1 hour.

The distance around a circle, the circumference, is given by the formula C=πd.  We know the radius of the earth is 6400 km.  However, we have to add the distance from the satellite to the earth, as this will make the radius of its orbit bigger:
6400+3800=10200 km

The circumference formula uses diameter, not radius, so we multiply this by 2:
10200(2)=20,400 km

Using this in the formula, we have C=3.14(20,400) = 64,056 km.  This is how much the satellite travels in 8 hours.  To find how far it travels in 1 hour, we divide by 8:
64,056/8 = 8007 km.

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