# How many miles does the earth move around the sun each day?

Mar 1, 2016

About $1.6$ million miles.

#### Explanation:

• The Earth's average distance from the sun is about $9.3 \times {10}^{7}$ miles.

• The Earth's orbit is roughly circular (I know it's really closer to an ellipse, but it's good enough for an approximation).

• The Earth travels around the Sun in about $365$ days.

The length of the Earth's path around the Sun in one year is about $2 \pi r$ where $r = 9.3 \times {10}^{7}$ miles is the radius.

$2 \pi \cdot \left(9.3 \times {10}^{7}\right) \approx 5.84 \times {10}^{8}$ miles

Divide this by $365$ to get the distance per day:

$\frac{5.84 \times {10}^{8}}{365} = 1.6 \times {10}^{6}$ miles.