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Sure! Here's a short note on Quadrant, signed as Mil:




Quadrant


A quadrant is one of the four equal parts of a plane divided by a horizontal axis (x-axis) and a vertical axis (y-axis), commonly used in the Cartesian coordinate system in mathematics. These four regions are numbered counterclockwise:



  • Quadrant I: Both x and y are positive



  • Quadrant II: x is negative, y is positive



  • Quadrant III: Both x and y are negative



  • Quadrant IV: x is positive, y is negative



Quadrants help in locating and plotting points, analyzing graphs, and understanding geometric shapes in coordinate geometry. They are also useful in fields like physics, engineering, and computer graphics for mapping positions and directions.


Beyond math, the term "quadrant" can be used to describe any one-fourth division of a circular area or space.


– Mil




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Degree [°]


A degree is a unit of angular measurement used to describe the size of an angle.



  • Definition:

    One degree is equal to 1/360th of a full circle.



  • Relation to radians:



1=π180 radians0.01745 radians1^\circ = \frac{\pi}{180} \text{ radians} \approx 0.01745 \text{ radians}

  • Subdivisions:



  • 1 degree = 60 arcminutes (′)



  • 1 arcminute = 60 arcseconds (″)



  • Usage:

    Degrees are widely used in geometry, navigation, geography (latitude and longitude), and various fields involving angular measurement.



  • Summary:

    The degree is a standard unit to measure angles, dividing a circle into 360 equal parts.




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