1. What is the 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 formula:

Where:

• \( l \) — Length of the rectangle (m)
• \( A \) — Area of the rectangle (m²)
• \( \tan^{-1} \) — Inverse tangent function

Explanation: The formula calculates the angle by first finding the breadth from area and length, then using the inverse tangent of the ratio of length to breadth.

3. Importance of Angle Calculation

Details: Calculating this angle is important in geometry, architecture, and engineering for understanding spatial relationships and designing rectangular structures with specific proportions.

4. Using the Calculator

Tips: Enter the length and area of the rectangle. Both values must be positive numbers. The calculator will compute the angle in degrees between the diagonal and the breadth.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of possible angles?
A: The angle ranges from 0° to 90°, where 0° would occur if length approaches 0, and 90° if breadth approaches 0.

Q2: How is breadth derived from area and length?
A: Breadth = Area / Length, since Area = Length × Breadth for a rectangle.

Q3: Can this calculator be used for squares?
A: Yes, for a square (where length = breadth), the angle would be exactly 45°.

Q4: What units should be used?
A: Consistent units must be used (e.g., meters for length, square meters for area). The angle result is in degrees.

Q5: Is the result always an acute angle?
A: Yes, in a rectangle, the angle between the diagonal and any side is always acute.