The formula to calculate the Diagonal of Rectangle (d) is:
\[ d = \frac{l}{\cos(\angle dl)} \]
Where:
Diagonal of Rectangle is the length of the line joining any pair of opposite vertices of the Rectangle.
Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.
Angle between Diagonal and Length of Rectangle is the measure of wideness of the angle made by any diagonal with the length of the Rectangle.
Let's assume the following values:
Using the formula:
\[ d = \frac{8}{\cos(0.6109)} \]
Evaluating:
\[ d \approx 9.7662 \, \text{meters} \]
The Diagonal of Rectangle is approximately 9.7662 meters.
| Length of Rectangle (l) (meters) | Angle between Diagonal and Length (∠dl) (radians) | Diagonal of Rectangle (d) (meters) |
|---|---|---|
| 7 | 0.5 | 7.9765 |
| 7 | 0.6109 | 8.5456 |
| 7 | 0.7 | 9.1522 |
| 8 | 0.5 | 9.1160 |
| 8 | 0.6109 | 9.7664 |
| 8 | 0.7 | 10.4597 |
| 9 | 0.5 | 10.2554 |
| 9 | 0.6109 | 10.9872 |
| 9 | 0.7 | 11.7671 |