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  2. Arc length - Wikipedia

    en.wikipedia.org/wiki/Arc_length

    In 1659 van Heuraet published a construction showing that the problem of determining arc length could be transformed into the problem of determining the area under a curve (i.e., an integral). As an example of his method, he determined the arc length of a semicubical parabola, which required finding the area under a parabola . [ 9 ]

  3. Additional Mathematics - Wikipedia

    en.wikipedia.org/wiki/Additional_Mathematics

    AQA's syllabus is much more famous than Edexcel's, mainly for its controversial decision to award an A* with Distinction (A^), a grade higher than the maximum possible grade in any Level 2 qualification; it is known colloquially as a Super A* or A**. A new Additional Maths course from 2018 is OCR Level 3 FSMQ: Additional Maths (6993). [6]

  4. Circular arc - Wikipedia

    en.wikipedia.org/wiki/Circular_arc

    A circular sector is shaded in green. Its curved boundary of length L is a circular arc. A circular arc is the arc of a circle between a pair of distinct points.If the two points are not directly opposite each other, one of these arcs, the minor arc, subtends an angle at the center of the circle that is less than π radians (180 degrees); and the other arc, the major arc, subtends an angle ...

  5. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    The sagitta (also known as the versine) is a line segment drawn perpendicular to a chord, between the midpoint of that chord and the arc of the circle. Given the length y of a chord and the length x of the sagitta, the Pythagorean theorem can be used to calculate the radius of the unique circle that will fit around the two lines: = +.

  6. Goat grazing problem - Wikipedia

    en.wikipedia.org/wiki/Goat_grazing_problem

    The goat problems do not yield any new mathematical insights; rather they are primarily exercises in how to artfully deconstruct problems in order to facilitate solution. Three-dimensional analogues and planar boundary/area problems on other shapes, including the obvious rectangular barn and/or field, have been proposed and solved. [ 1 ]

  7. Functional (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Functional_(mathematics)

    The arc length functional has as its domain the vector space of rectifiable curves – a subspace of ([,],) – and outputs a real scalar. This is an example of a non-linear functional.

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