Diagonal of Rectangle given Area and Breadth Calculator

Calculate Diagonal of Rectangle





Formula

The formula to calculate Diagonal of Rectangle (d) is:

\[ d = \sqrt{\left(\frac{A}{b}\right)^2 + b^2} \]

Where:

Definition

The Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.

The Area of Rectangle is the total quantity of plane enclosed by the boundary of the Rectangle.

The Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.

How to calculate Diagonal of Rectangle given Area and Breadth

Let's assume the following values:

Using the formula:

\[ d = \sqrt{\left(\frac{A}{b}\right)^2 + b^2} \]

Evaluating:

\[ d = \sqrt{\left(\frac{48}{6}\right)^2 + 6^2} \]

The Diagonal of Rectangle is 10.

Diagonal of Rectangle Conversion Chart

Area of Rectangle (A) Breadth of Rectangle (b) Diagonal of Rectangle (d)
45 5 10.295630140987001
45 5.5 9.858607851026969
45 6 9.604686356149273
45 6.5 9.496262111106677
45 7 9.504027073417085
46 5 10.470912090166738
46 5.5 10.010015645499285
46 6 9.735387911006823
46 6.5 9.608997878899048
46 7 9.601232914026602
47 5 10.647065323364933
47 5.5 10.162420646107391
47 6 9.867173410410457
47 6.5 9.722860878807175
47 7 9.699568683867403
48 5 10.824047302187846
48 5.5 10.315778654866454
48 6 10.000000000000000
48 6.5 9.837811971098972
48 7 9.799000365510009
49 5 11.001818031580054
49 5.5 10.470047794850139
49 6 10.133826742373506
49 6.5 9.953813458512467
49 7 9.899494936611665
50 5 11.180339887498949
50 5.5 10.625188379467613
50 6 10.268614533832910
50 6.5 10.070829043983226
50 7 10.001020356106936