# Given that the Andromeda galaxy is about 163000 light years across and subtends about 4.1^@, approximately how many light years away is it?

Mar 28, 2017

Approximately $2.3$ million light years.

#### Explanation:

${4.1}^{\circ} = 4.1 \cdot \frac{\pi}{180} \approx \frac{1}{14}$ radians

So the approximate distance to Andromeda is:

$163000 \cdot 14 \approx 2300000$ light years