Calculations at a Rectangle. A rectangle is a quadrilateral with four right angles. The opposite sides are parallel and of equal length. Enter the two side lengths and choose the number of decimal places. Then click Calculate.
Formulas:
d = √ a² + b²
p = 2 * ( a + b )
A = a * b
rc = 1/2 * √ a² + b²
Side lengths, diagonal and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).
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Diagonals and median lines meet in one point, this is the circumcircle center and the centroid. The lengths of the median lines are equal to the lengths of the according parallel sides.
perimeter p, area A
sides and angles
diagonals
median lines
circumcircle
The rectangle is a special case of both the parallelogram and the trapezoid. A special case of the rectangle is the square with four sides of equal length. If you cut a rectangle in half diagonally, you get two equal right triangles. If you cut through both diagonals you get four isosceles triangles, of which the two opposite ones are equal. The three-dimensional extension of the rectangle is the cuboid.
The rectangle is axisymmetric with respect to its median lines and point-symmetrical with respect to the intersection of the diagonals. It is also rotationally symmetrical to the diagonal intersection with the number 2. This means that during a full rotation of 360 degrees it is mapped onto itself twice, after each 180 degrees. During rotation, each of the four corners moves along the circumcircle.
Each rectangle can be used to tile a level without any gaps. There are several different methods of arrangement. The simplest tiling is the Platonic one, in which the rectangles lie next to and on top of each other like in a grid.
