You assume that the orbit of the Earth around the Sun is circular.
Then, the radius of the circle is the averarage distance from the Earth to the Sun.
Given that the Earth makes one round in a year, the distance traveled by the Earth is the circumference of a circle with that radius.
The formula for the circumference of a circle is:
Circumference = 2π*radius
=> Circumference = 2π(93 million miles)
=> Circumference = 584.34 million miles.
Then the Earth travel 584.34 million miles each year. Nevertheless, it does not go any far, because if comesback to (approximately) the same place from which it departured.
