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  • Difference between Diagonal and Diameter

    Diagonal vs Diameter

    Well both the terms relate to geometry. Diagonal is a line joining opposite corners of a regular or irregular polygon. A quadrilateral has two diagonals, and a hexagon has three.

    What is the difference between Diagonal and Diameter?

    Diameter is the line touching two farthest points on a circle. Diameter is the longest chord on a circle and it divides a circle into two exact halves. In a way, the diameter is the diagonal of a circle.

    A diagonal is a line joining two nonconsecutive vertices of a polygon or polyhedron. Informally, any sloping line is called diagonal. The word derives from the Greek διαγώνιος (diagonios),from dia- (through, across) and gonia (angle, related to gony knee); it was used by both Strabo and Euclid to refer to a line connecting two vertices of a rhombus or cuboid, and later adopted into Latin as diagonus (slanting line).

    Definition of DIAGONAL

    1} a): joining two vertices of a rectilinear figure that are nonadjacent or two vertices of a polyhedral figure that are not in the same face
    b) : passing through two nonadjacent edges of a polyhedron … a diagonal plane

    2} a): inclined obliquely from a reference line (as the vertical) wood with a diagonal grain
    b) having diagonal markings or parts …. a diagonal weave

    Examples of DIAGONAL

    The blanket is covered with diagonal stripes.
    The diagonal design ran up the wall all the way from the lower left to the upper right-hand corner.

    Origin of DIAGONAL

    Latin diagonalis, from Greek diagōnios from angle to angle, from dia- + gōnia angle; akin to Greek gony knee.
    In mathematics, in addition to its geometric meaning, a diagonal is also used in matrices to refer to a set of entries along a diagonal line
    As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.

    Non-mathematical uses
    A stand of basic scaffolding on a house construction site, with diagonal braces to maintain its structure.
    In engineering, a diagonal brace is a beam used to brace a rectangular structure (such as scaffolding) to withstand strong forces pushing into it; although called a diagonal, due to practical considerations diagonal braces are often not connected to the corners of the rectangle.

    DIAMETER

    In geometry, a diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints are on the circle. The diameters are the longest chords of the circle. The word derives from Greek διάμετρος (diametros), “diagonal of a circle”, from δια- (dia-), “across, through” + μέτρον (metron), “a measure”]).

    In more modern usage, the length of a diameter is also called the diameter. In this sense one speaks of the diameter rather than a diameter, because all diameters of a circle have the same length, this being twice the radius.

    For a convex shape in the plane, the diameter is defined to be the largest distance that can be formed between two opposite parallel lines tangent to its boundary, and the width is defined to be the smallest such distance. For a curve of constant width such as the Reuleaux triangle, the width and diameter are the same because all such pairs of parallel tangent lines have the same distance.

    Hope you were able to learn the Difference Between Diagonal and Diameter

    Posted under: Math
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