Find the distance that the earth travels in seven days 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. [The path of the earth around the sun is actually an ellipse with the sun at one focus (see Section 10.2). This ellipse, however, has very small eccentricity, so it is nearly circular.] (Round your answer to one decimal place.)

find the circumference of the earth:

2π(93 million) = ....

multiply that by 7/365

1.6 million miles

To find the distance that the Earth travels in seven days in its path around the sun, we need to calculate the circumference of the circular path.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

Given that the radius of the Earth's path around the sun is 93 million miles, we can substitute the value into the formula:

C = 2π(93 million)

Now we can calculate the circumference:

C ≈ 2π(93,000,000)

C ≈ 2(3.14)(93,000,000)

C ≈ 584,040,000 miles

So, the circumference of the Earth's path around the sun is approximately 584,040,000 miles.

To find the distance the Earth travels in seven days, we can divide this value by 365 (the number of days in a year) and then multiply it by 7 (the number of days):

Distance traveled in 7 days = (584,040,000 / 365) * 7

Distance traveled in 7 days ≈ 1,119,890 miles

Therefore, the Earth travels approximately 1,119,890 miles in seven days in its path around the sun.