Given length/width and angle: d = w / sin(α/2) or d = l / cos(α/2),.Given length/width and area: d = √(A²/l² + l²) or d = √(A²/w² + w²),.Given length and width: d = √(l² + w²),.With the above equations, we can now derive various diagonal of a rectangle formulas that are used by this diagonal of a rectangle calculator:
Circumcircle radius of a rectangle r = d/2.Perimeter of a rectangle P = 2 * w + 2 * l,.At first, let's write down three basic equations, for the area, perimeter and circumcircle radius:
How to find the diagonal of a rectangle in that situation? The answer is provided with our diagonal of a rectangle calculator. Sometimes you won't have given all of two rectangle's sides. On the other hand, you can inscribe a circle into a rectangle only if it is a square. The center of a rectangle is equidistant from its vertices, and therefore you can always circumscribe a circle on it. They can quickly estimate the perimeter, area and diagonal of every square you want, just from the length of its side. Go ahead on try our calculators dedicated to squares. Its definition is that it has all four sides of equal length, or alternatively, the angle between two diagonals is right.
Its opposite sides are parallel and of equal length, and its two diagonals intersect each other in the middle and are of equal lengths too.Ī square is a special case of a rectangle. This name derives from the fact that a rectangle is a quadrilateral with four right angles (4 * 90° = 360°).
The term rectangle comes from the Latin rectangulus that is a combination of two words: rectus (right, proper) and angulus (angle). These are:Īnd two other parameters which are not shown in the picture: You can use them to derive the diagonal of a rectangle formula. We have marked five basic quantities that describe a specific rectangle. You can see a typical rectangle in the figure below. Have you met a specific rectangle problem and you don't know how to find the diagonal of a rectangle? Try entering a couple of parameters in the fields beside the text or keep reading to find out what are the possible diagonal of a rectangle formulas. Our diagonal of a rectangle calculator is an extensive tool that quickly finds the diagonal and other parameters of a rectangle.