The notion of angle, which comes from the Latin word angŭlus , refers to a figure of geometry that is formed from two lines that intersect each other on the same surface. It can also be said that an angle is formed by two rays that share the same vertex.
Angles can be measured in different units: the sexagesimal degree and the radian are the most common measurements. According to this measurement, the angles are classified in different ways.
If we are on the terrain of sexagesimal degrees, a right angle, for example, measures 90 °. If the angle measures less than 90 ° but more than 0 °, it is scored as acute. On the other hand, if it measures more than 90 ° and less than 180 °, it is called an obtuse angle.
The unit that is taught first in school is the sexageximal degree, since it is easier to understand: with the help of a measuring instrument, such as the protractor, we must determine the opening of the angle and assign the corresponding value, in a similar way to what we do when measuring the extension of an object in centimeters. However, radian is much more useful and is used predominantly in the scientific environment.
To carry out the measurement of an angle in radians, we must continue its arc until completing an imaginary circle, in whose center the vertex of the first is located; In other words, we can think of a cake that is missing a portion, this being the angle to be measured. The value of 1 radian is the equivalent of the arc whose length is, in turn, equal to the radius of the circumference in question; half the circumference is π (pi) radians, while 2π radians is the entire circumference. Converting a sexagesimal degree value to radians consists of multiplying it by pi and dividing it by 180.
The null angle, the straight angle, the concave angle and full angle are some of the most common types. Also, taking other characteristics, one can speak of adjacent angles, supplementary angles, complementary angles, external angles, internal angles and solid angles.
Unlike other operations, such as addition and multiplication, the computation required to find the value of an angle is relatively demanding for a processor, as is the computation of the square root, and so programmers must find "inexpensive" methods for avoid overhead at runtime; a very common solution consists of calculating all the necessary values during the load of the program, to elaborate a list that later can be consulted without problem.
Beyond the limits of geometry, the idea of angle is often used to name a corner or a corner: “I think we could place the new library at that angle” , “Grandma's vase stands out in a corner of the dining room ” .
Angle, on the other hand, is a perspective or point of view. It is said that a person observes reality according to his own and particular gaze, known as an angle: "From my angle, experience is the most important thing to successfully perform this type of task . "