In this publication, we will consider what a degree measure of an angle is, in what it is measured. We also provide a brief historical background on this topic.
Determination of the degree measure of an angle
Beam rotation amount AO around the dot O called angle measure.
Degree measure of angle – a positive number showing how many times the degree and its components (minute and second) fit into this angle. Those. is the total number of degrees, minutes, and seconds between the sides of the angle.
Angle – this is a geometric figure, which is formed by two emerging from one point (is the vertex of the angle).
Side angle are the rays that make up the angle.
Angle units
Degree – the basic unit of measurement of plane angles in geometry, equal to 1/180 of a straightened angle. Referred to as “°“.
Minute is 1/60 of a degree. The symbol is used to denote‘“.
Second is 1/60 of a minute. Referred to as “′′“.
examples:
- 32° 12′ 45″
- 16° 39′ 57″
A special tool is often used to measure angles – protractor.
Short story
The first mention of a degree measure is found in Ancient Babylon, in which the sexagesimal number system was used. The scientists of that time divided the circle into 360 degrees. It is believed that this was done due to the fact that there are approximately 360 days in the solar year, the daily displacement of the Sun along the ecliptic and other factors were also taken into account. In addition, it was more convenient to perform various calculations.
1 turn = 2π (in radians) = 360°