The complete or perigonal angle is one that measures 360º (sexagesimal degrees) or 2π radians. Thus, it is an angle that is formed when a complete turn is made, returning to the starting point.
As we can see in the image above, a complete angle is similar to a circle.
The full angle is one of the categories of angles when they are classified based on their measure.
It should be remembered that an angle is an arc formed by the crossing of two rays, lines or segments.
Full angle characteristics
Some characteristics of the full angle are as follows:
- It is equivalent to twice a straight angle or 180º.
- It is equal to four times a right angle or 90º.
- Four acute angles (less than 90º) cannot form a complete angle.
- It is an angle formed by two rays that are superimposed, although it seems at first glance that there is only one ray. In the image above, for example, there are two rays that pass through points A and B.
- Two angles that form a right angle are complementary, and two that add up to a straight angle are supplementary. However, there is no similar category for full angles.
- The sum of the interior angles of a quadrilateral is equal to 360º, that is, the equivalent of a complete angle.
Full angle examples
Some full angle examples are as follows:
- When a person makes a turn on himself, returning to the starting point, he has formed a full angle with his body.
- When we spin a bottle and it has returned to the starting point, it has made a full angle.
- When we draw a circle with a pencil or pencil, we are making a 360º turn with this object, which is, as we explained in this article, equivalent to a perigonal angle.