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Radian [rad]


A radian is the standard SI unit for measuring angles based on the radius of a circle.



  • Definition:

    One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle.



  • Relation to degrees:



1 radian=180π57.29581 \text{ radian} = \frac{180}{\pi} \approx 57.2958^\circ
360=2π radians360^\circ = 2\pi \text{ radians}

  • Usage:



  • Commonly used in mathematics, physics, and engineering for angular measurements.



  • Preferred in calculus and trigonometry because it simplifies many formulas.



  • Summary:

    The radian measures angles naturally in terms of circle geometry and is the standard unit for angles in the International System of Units (SI).



Right Angle


A right angle is an angle that measures exactly 90 degrees. It is one of the most important and common angles in geometry. Right angles are found in squares, rectangles, and many everyday objects like books, doors, and walls.


In diagrams, a right angle is usually marked with a small square at the corner to show it is 90°. When two lines or line segments meet to form a right angle, they are said to be perpendicular to each other.


Right angles are the foundation of many geometric constructions and are essential in fields such as architecture, engineering, and design, where precise angles are necessary. They help ensure structures are straight, balanced, and functional.


– Mil



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