3 points for a field goal in American Football
Three points are awarded for a field goal in American football.
3 Points in a field goal for football (that is American football)
A field goal is worth 3 points.
3 Points for a Field Goal in (American) Football Game
It's three points.
There is no field goal in Association Football (soccer), that exists only on American football.
A field goal (kicking the ball through the uprights at the end of the field) is worth 3 points in American football. There is no "point after" attempt for a field goal. In contrast, a touchdown (carrying the ball past the goal line) is worth 6 points and allows an attempt for an additional point after touchdown, which closely resembles a field goal.
Only if you played football between 1883 and 1903, when the field goal was worth 5 points!