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Calculate Rhomboid Field

Calculator for the perimeter and size of a rhomboid or oblique field, with different units. A rhomboid is also knwon as parallelogram. It emerges from a rectangle, which is distorted at one corner. Its area is the product of both side lengths and the sine of the pointed angle. Please enter the pointed angle in degrees (°) or as radiant (rad). Enter two further values and choose the units. The other two values will be calculated.

Angle:
Length:
Width:
Perimeter:
Area:


Units of measurement: cm=centimeter, dm=decimeter, m=meter, km=kilometer, in=inch, ft=foot, yd=yard, mi=mile, ²,sq=square, a=are, ha=hectare, ac=acre

Calculate a Rhomboid or Parallelogram from Perimeter and Area

If perimeter p, area A and pointed angle α are given, then the side lengts a and b can be calculated as

[ p/2 * sin(α) ± √ p²/4*sin²(α) - 4*sin(α)*A ] / [ 2*sin(α) ]

Two different results arise from adding respectively subtracting the square root.

Rhomboid
A rhomboid field.

A rhomboid or parallelogram is a special type of quadrilateral. In the specific case where all sides are of equal length, it is called a rhombus. The angle in degrees is the more widely known way of specifying angles. Measurements in radians are often used in a mathematical and scientific context.

Parallelograms are formed when two pairs of parallel lines intersect. The four intersections then form the vertices of the rhombus, and the lines between them are the sides or edges. Sometimes roads follow this course, and in such cases, fields or plots of land with this shape lie between them. A rhombus can also be considered a distorted rectangular shape. Compared to a standard rectangle, a rhombus has a smaller area for the same side lengths. This area decreases as each acute angle decreases, meaning the more the rectangle has been distorted.



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