2 Orbit of the Earth Find the distance that the earth travel

2. Orbit of the Earth Find the distance that the earth travels in one day in its path around the sun. Assume that a year has 365 days and that the path of the earth around the sun is a circle of radius 93 million miles. [Note: The path of the earth around the sun is actually an ellipse with the sun at one focus. This ellipse, however, has very small eccentricity, so it is nearly circular.]

Solution

given  radius of orbit r = 93 million miles

distance travelled in (1 year)365days =circumference of orbit = 2r

circumference of orbit = 2*93 million miles

distance that the earth travels in one day =2r /365

distance that the earth travels in one day =(2*93 /365)million miles

distance that the earth travels in one day =1.60092118786million miles

distance that the earth travels in one day =1.60092118786*1000000 miles

distance that the earth travels in one day =1600921.2 miles