Diagonal of Rectangle given Angle between Breadth and Diagonal Calculator

Calculate Diagonal of Rectangle





Formula

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

\[ d = \frac{b}{\cos(\angle db)} \]

Where:

Definition

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

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

Angle between Diagonal and Breadth of Rectangle is the measure of wideness of the angle made by any diagonal with the breadth of the Rectangle.

How to calculate Diagonal of Rectangle

Let's assume the following values:

Using the formula:

\[ d = \frac{6}{\cos(0.9599)} \]

Evaluating:

\[ d \approx 10.4607 \, \text{meters} \]

The Diagonal of Rectangle is approximately 10.4607 meters.

Conversion Chart

Breadth of Rectangle (b) (meters) Angle between Diagonal and Breadth (∠db) (radians) Diagonal of Rectangle (d) (meters)
5 0.8 7.1766
5 0.9599 8.7168
5 1.1 11.0230
6 0.8 8.6119
6 0.9599 10.4602
6 1.1 13.2276
7 0.8 10.0473
7 0.9599 12.2036
7 1.1 15.4322