Approximately how far is the sun from the center of the galaxy?

About 8 kpc

Explanation:

The milky way galaxy is the galaxy we live in. Its composed of the solar system, billion stars, gas, dust and dark matter.

At its center it contains a super massive black hole called Sagittarius. This object is millions of times as massive as the sun.

The sun is about 8 kpc to the center of the milky way galaxy, this is about 26,000 light years away.

1000 parsecs distance is approximately 3262 light years.

A light year is the distance light can travel in a period of 1 year.