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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. Pentadecagon - Wikipedia

    en.wikipedia.org/wiki/Pentadecagon

    The regular pentadecagon has Dih 15 dihedral symmetry, order 30, represented by 15 lines of reflection. Dih 15 has 3 dihedral subgroups: Dih 5, Dih 3, and Dih 1. And four more cyclic symmetries: Z 15, Z 5, Z 3, and Z 1, with Z n representing π/ n radian rotational symmetry. On the pentadecagon, there are 8 distinct symmetries.

  4. 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 ...

  5. 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 ...

  6. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    Since angle B is supplementary to both angles C and D, either of these angle measures may be used to determine the measure of Angle B. Using the measure of either angle C or angle D, we find the measure of angle B to be 180° − (180° − x) = 180° − 180° + x = x. Therefore, both angle A and angle B have measures equal to x and are equal ...

  7. Special right triangle - Wikipedia

    en.wikipedia.org/wiki/Special_right_triangle

    Angle-based special right triangles are specified by the relationships of the angles of which the triangle is composed. The angles of these triangles are such that the larger (right) angle, which is 90 degrees or ⁠π 2 ⁠ radians, is equal to the sum of the other two angles. The side lengths are generally deduced from the basis of the unit ...

  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. Unit circle - Wikipedia

    en.wikipedia.org/wiki/Unit_circle

    Illustration of a unit circle. The variable t is an angle measure. Animation of the act of unrolling the circumference of a unit circle, a circle with radius of 1. Since C = 2πr, the circumference of a unit circle is 2π. In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. [1]