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. round to one decimal place, which is the hundred thousands. your answer is million miles. question help: worked example 1

Explanation:

Step1: Calculate the circumference of the circle

The formula for the circumference of a circle is \(C = 2\pi r\). Given \(r = 93\) million miles, so \(C=2\pi\times93\).

$$C = 186\pi$$

Step2: Find the distance traveled in one day

Since the Earth takes 365 days to complete one full - circle (circumference), the distance \(d\) traveled in one day is \(d=\frac{C}{365}\). Substitute \(C = 186\pi\) into the formula:

$$d=\frac{186\pi}{365}$$

$$d=\frac{186\times3.14159}{365}$$

$$d=\frac{584.33574}{365}$$

$$d\approx1.6$$

Answer:

\(1.6\)