Frame Calculator

Calculations at a frame. A frame is a rectangle, from which a smaller rectangle is removed centrally, whose length and width are an equal value shorter than that of the larger one.
Enter the frame thickness, one length and one width. Choose the number of decimal places and click Calculate.

	Frame thickness (c):			For a frame with a height, see hollow cuboid.
	Outer length (a):
	Outer width (b):
	Inner length (a'):
	Inner width (b'):
	Vertex diagonal (d):
	Perimeter (p):
	Area (A):
	Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.

Thickness, lengths, widths, diagonal and perimeter have the same unit (e.g. meter), the area has this unit squared (e.g. square meter). Perimeter refers to inner and outer boundary lines, these are the two perimeters of the respective rectangles added together.

The corner diagonal does not lie on one of the two diagonals of the original rectangles, which also don't lie on top of each other, nor is it parallel to them. At least, as long as these rectangles are not squares.
The rectangular frame is axially symmetrical to the two perpendicular bisectors of the respective opposite sides. It is point-symmetrical to their intersection point. Furthermore, it is rotationally symmetrical at angles of 180 degrees and multiples thereof, also to this intersection point, which is also its center. This also applies to the two rectangles that form this frame.

This is a very simple frame shape. Similar shapes derived from rectangles are open frame and grid. Frames based on round shapes are annulus. and elliptical ring. Of course, the cut-out shape can also be different from the surrounding shape, as is the case with a cash, for example. A prism with a frame as its base is a hollow cuboid. Frames are common; the most well-known examples are certainly window frames and picture frames, which are very often rectangular.

Last updated on 03/31/2026. Author: Jürgen Kummer

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