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  2. Degree (angle) - Wikipedia

    en.wikipedia.org/wiki/Degree_(angle)

    A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. [4] It is not an SI unit —the SI unit of angular measure is the radian —but it is mentioned in the SI brochure as an accepted unit. [5]

  3. Gradian - Wikipedia

    en.wikipedia.org/wiki/Gradian

    minutes of arc. 54′. In trigonometry, the gradian – also known as the gon (from Ancient Greek γωνία (gōnía) 'angle'), grad, or grade[1] – is a unit of measurement of an angle, defined as one-hundredth of the right angle; in other words, 100 gradians is equal to 90 degrees. [2][3][4] It is equivalent to ⁠ 1 400 ⁠ of a turn, [5 ...

  4. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    An angle equal to 1 turn (360° or 2 π radians) is called a full angle, complete angle, round angle or perigon. An angle that is not a multiple of a right angle is called an oblique angle. The names, intervals, and measuring units are shown in the table below: Right angle. Acute (a), obtuse (b), and straight (c) angles.

  5. Goniometer - Wikipedia

    en.wikipedia.org/wiki/Goniometer

    A half-circle protractor marked in degrees (180°). A protractor is a measuring instrument, typically made of transparent plastic, for measuring angles. Some protractors are simple half-discs or full circles. More advanced protractors, such as the bevel protractor, have one or two swinging arms, which can be used to help measure the angle.

  6. Grade (slope) - Wikipedia

    en.wikipedia.org/wiki/Grade_(slope)

    The grade (US) or gradient (UK) (also called stepth, slope, incline, mainfall, pitch or rise) of a physical feature, landform or constructed line refers to the tangent of the angle of that surface to the horizontal. It is a special case of the slope, where zero indicates horizontality. A larger number indicates higher or steeper degree of "tilt ...

  7. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    v. t. e. Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle' and μέτρον (métron) 'measure') [1] is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths.

  8. Right angle - Wikipedia

    en.wikipedia.org/wiki/Right_angle

    In geometry and trigonometry, a right angle is an angle of exactly 90 degrees or ⁠ 2 ⁠ radians [1] corresponding to a quarter turn. [2] If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles. [3] The term is a calque of Latin angulus rectus; here rectus means "upright", referring ...

  9. Internal and external angles - Wikipedia

    en.wikipedia.org/wiki/Internal_and_external_angles

    The sum of the internal angle and the external angle on the same vertex is π radians (180°). The sum of all the internal angles of a simple polygon is π (n −2) radians or 180 (n –2) degrees, where n is the number of sides. The formula can be proved by using mathematical induction: starting with a triangle, for which the angle sum is 180 ...

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