1. What is Angle Between Diagonal and Breadth of Rectangle?

The angle between the diagonal and breadth of a rectangle is the acute angle formed between the diagonal and the shorter side (breadth) of the rectangle. This angle helps in understanding the geometric properties and proportions of the rectangle.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \angle db \) — Angle between diagonal and breadth (degrees)
• \( l \) — Length of rectangle (m)
• \( d \) — Diagonal of rectangle (m)

Explanation: The formula uses the inverse sine function to calculate the angle based on the ratio of length to diagonal.

3. Importance of Angle Calculation

Details: Calculating this angle is important in geometry, engineering, and design applications where precise angular relationships in rectangular shapes need to be determined.

4. Using the Calculator

Tips: Enter the length and diagonal values in meters. Both values must be positive, and the length cannot exceed the diagonal length.

5. Frequently Asked Questions (FAQ)

Q1: Why use arcsin function in this calculation?
A: The arcsin function is used because we're dealing with the ratio of opposite side (length) to hypotenuse (diagonal) in the right triangle formed by the diagonal.

Q2: What is the range of possible angles?
A: The angle ranges from 0° to 90°, where 0° occurs when length is 0 and 90° occurs when length equals diagonal (square case).

Q3: Can this calculator handle different units?
A: The calculator uses meters as default, but any consistent unit system can be used as long as both measurements are in the same units.

Q4: What if length is greater than diagonal?
A: This is geometrically impossible in a rectangle. The length cannot exceed the diagonal length.

Q5: How accurate is the calculation?
A: The calculation uses PHP's built-in trigonometric functions which provide high precision results.