Question

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.

Answer 1

`\boxed{\text{1.6 million miles}}}`

Step-by-step explanation:

In 365 days, the Earth travels through an angle of 2π

In 1 day, the Earth travels through an angle of 2π/365

The formula for arc length (s) as a function of the angle (θ) is

s = rθ

Calculations:

θ = 2π/365 = 0.017 21

s = 93 × 10⁶ × 0.017 21 = 1.6 × 10⁶ mi

`\text{The distance traveled by the Earth in one day is \boxed{\textbf{1.6 million miles}}}`