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  2. 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 ...

  3. 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 ...

  4. 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 .

  5. 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) [22]: 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 [ 20 ]

  6. Perimeter - Wikipedia

    en.wikipedia.org/wiki/Perimeter

    The real area is 10,000 2 times the area of the shape on the map. 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.

  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. Curve of constant width - Wikipedia

    en.wikipedia.org/wiki/Curve_of_constant_width

    By Barbier's theorem, the body's perimeter is exactly π times its width, but its area depends on its shape, with the Reuleaux triangle having the smallest possible area for its width and the circle the largest. Every superset of a body of constant width includes pairs of points that are farther apart than the width, and every curve of constant ...