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  2. Wikipedia:Reference desk/Archives/Mathematics/2010 January 11

    en.wikipedia.org/wiki/Wikipedia:Reference_desk/...

    What is the formular to find the perimeter of a trapezium —Preceding unsigned comment added by 202.170.37.10 03:31, 11 January 2010 (UTC) What information do you know? Often you know at least two of the four side lengths, and you can usually find the others by using the Pythagorean theorem .

  3. Trapezoid - Wikipedia

    en.wikipedia.org/wiki/Trapezoid

    The center of area divides this segment in the ratio (when taken from the short to the long side) [21]: p. 862 a + 2 b 2 a + b . {\displaystyle {\frac {a+2b}{2a+b}}.} If the angle bisectors to angles A and B intersect at P , and the angle bisectors to angles C and D intersect at Q , then [ 19 ]

  4. Equable shape - Wikipedia

    en.wikipedia.org/wiki/Equable_shape

    For example, if shape has an area of 5 square yards and a perimeter of 5 yards, then it has an area of 45 square feet (4.2 m 2) and a perimeter of 15 feet (since 3 feet = 1 yard and hence 9 square feet = 1 square yard). Moreover, contrary to what the name implies, changing the size while leaving the shape intact changes an "equable shape" into ...

  5. Heron's formula - Wikipedia

    en.wikipedia.org/wiki/Heron's_formula

    Area calculator a: 3: b: 4: c: 5: s: 6: Area [2] 6.000: ... Heron's formula is also a special case of the formula for the area of a trapezoid or trapezium based only ...

  6. Isosceles trapezoid - Wikipedia

    en.wikipedia.org/wiki/Isosceles_trapezoid

    The area of an isosceles (or any) trapezoid is equal to the average of the lengths of the base and top (the parallel sides) times the height. In the adjacent diagram, if we write AD = a , and BC = b , and the height h is the length of a line segment between AD and BC that is perpendicular to them, then the area K is

  7. Shoelace formula - Wikipedia

    en.wikipedia.org/wiki/Shoelace_formula

    Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]

  8. Equivalent radius - Wikipedia

    en.wikipedia.org/wiki/Equivalent_radius

    The area-equivalent radius of a 2D object is the radius of a circle with the same area as the object Cross sectional area of a trapezoidal open channel, red highlights the wetted perimeter, where water is in contact with the channel.

  9. Perimeter - Wikipedia

    en.wikipedia.org/wiki/Perimeter

    Nevertheless, there is no relation between the area and the perimeter of an ordinary shape. For example, the perimeter of a rectangle of width 0.001 and length 1000 is slightly above 2000, while the perimeter of a rectangle of width 0.5 and length 2 is 5. Both areas are equal to 1.