The large box around the goal is the penalty area it is 18 yards long, the smaller box is known as the 6 yard box.
The smaller area is called the goal area. It extends 6 yards out from the goal line and is 18 yards wide.
The goal area is 20 yards wide and 6 yards deep. It is the smaller of the two areas in front of the goal. The other area is called the penalty area.
It the area around the goal where a foul is punished with a penalty. It is not an ark however, but a box around the goal, 18 long.
the Crease
You are probably referring to the penalty mark.
If you've ever seen college lacrosse there's a circle around the goal that's the crease
interception
The area around a city is called the 'suburbs'.
edge of an area
The area around the equator where trade winds meet are called
Basic science
The penalty area is 44 yards (40.23 m) wide and 18 yards (16.5 m) deep. It is the larger of the two areas in front of the goal. The other area is called the goal area.
umbilical area