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  2. Pie chart - Wikipedia

    en.wikipedia.org/wiki/Pie_chart

    Pie chart. Pie chart of populations of English native speakers. A pie chart (or a circle chart) is a circular statistical graphic which is divided into slices to illustrate numerical proportion. In a pie chart, the arc length of each slice (and consequently its central angle and area) is proportional to the quantity it represents.

  3. Radian - Wikipedia

    en.wikipedia.org/wiki/Radian

    Definition. One radian is defined as the angle subtended from the center of a circle which intercepts an arc equal in length to the radius of the circle. [6] More generally, the magnitude in radians of a subtended angle is equal to the ratio of the arc length to the radius of the circle; that is, , where θ is the magnitude of the subtended ...

  4. Unit circle - Wikipedia

    en.wikipedia.org/wiki/Unit_circle

    The trigonometric functions cosine and sine of angle θ may be defined on the unit circle as follows: If (x, y) is a point on the unit circle, and if the ray from the origin (0, 0) to (x, y) makes an angle θ from the positive x-axis, (where counterclockwise turning is positive), then ⁡ = ⁡ =.

  5. Pi - Wikipedia

    en.wikipedia.org/wiki/Pi

    t. e. The number π (/ paɪ /; spelled out as " pi ") is a mathematical constant that is the ratio of a circle 's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formulae across mathematics and physics.

  6. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] [2] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

  7. Gradian - Wikipedia

    en.wikipedia.org/wiki/Gradian

    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] ⁠ 9 10 ⁠ of ...

  8. Turn (angle) - Wikipedia

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

    degrees. 360°. gradians. 400 g. The turn (symbol tr or pla) is a unit of plane angle measurement that is the angular measure subtended by a complete circle at its center. It is equal to 2π radians, 360 degrees or 400 gradians. As an angular unit, one turn also corresponds to one cycle (symbol cyc or c) [1] or to one revolution (symbol rev or ...

  9. Ptolemy's table of chords - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_table_of_chords

    For tiny arcs, the chord is to the arc angle in degrees as π is to 3, or more precisely, the ratio can be made as close as desired to ⁠ π / 3 ⁠ ≈ 1.047 197 55 by making θ small enough. Thus, for the arc of ⁠ 1 / 2 ⁠ °, the chord length is slightly more than the arc angle in degrees. As the arc increases, the ratio of the chord to ...