Length of Rectangle given Angle between Breadth and Diagonal Calculator

Calculate Length of Rectangle





Formula

The formula to calculate the Length of Rectangle (l) is:

\[ l = d \cdot \sin(\angle db) \]

Where:

Definition

The Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.

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

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 Length of Rectangle

Let's assume the following values:

Using the formula:

\[ l = 10 \cdot \sin(0.959931088596701) \]

Evaluating:

\[ l \approx 8.19152044288888 \]

The Length of Rectangle is approximately 8.19152044288888 Meters.

Conversion Chart

Diagonal (d) (Meters) Angle (∠db) (Radians) Length (l) (Meters)
8 0.5 3.835404308834
8 0.9599310885967 6.553216354311
8 1.2 7.456312687738
10 0.5 4.794255386042
10 0.9599310885967 8.191520442889
10 1.2 9.320390859672
12 0.5 5.753106463250
12 0.9599310885967 9.829824531467
12 1.2 11.184469031607