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 formula:

Where:

• \( A \) — Area of the rectangle (m²)
• \( b \) — Breadth of the rectangle (m)
• \( \arctan \) — Inverse tangent function

Explanation: The formula calculates the angle by first finding the length (A/b) and then applying the inverse tangent function to the ratio of length to breadth.

3. Importance of Angle Calculation

Details: Calculating the angle between diagonal and breadth is important in geometry, engineering, and design applications where precise angular measurements are required for rectangular shapes.

4. Using the Calculator

Tips: Enter the area of the rectangle in square meters and the breadth in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of possible angles?
A: The angle between diagonal and breadth ranges from 0° to 90°, depending on the proportions of the rectangle.

Q2: How does area affect the angle?
A: For a fixed breadth, increasing the area (and thus length) increases the angle between the diagonal and breadth.

Q3: Can this calculator handle different units?
A: The calculator uses consistent units (meters for length, square meters for area). Convert all measurements to consistent units before calculation.

Q4: What if the rectangle is actually a square?
A: When area equals breadth squared (making it a square), the angle between diagonal and breadth will be 45°.

Q5: Are there practical applications of this calculation?
A: Yes, this calculation is used in construction, carpentry, graphic design, and various engineering fields where rectangular components are used.