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

The angle between 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:

• \( \angle db \) — Angle between diagonal and breadth (degrees)
• \( b \) — Breadth of rectangle (m)
• \( D_c \) — Diameter of circumcircle of rectangle (m)

Explanation: The formula uses the inverse cosine function to calculate the angle based on the ratio of breadth to the diameter of the circumcircle.

3. Importance of Angle Calculation

Details: Calculating this angle is important in geometry, engineering, and design applications where precise angular relationships in rectangular shapes are required.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why use the circumcircle diameter in this calculation?
A: The diameter of the circumcircle equals the diagonal of the rectangle, making it a fundamental measurement for angle calculations.

Q2: What is the range of possible values for this angle?
A: The angle ranges from 0° to 90°, where 0° would indicate zero breadth and 90° would indicate the diagonal is perpendicular to the breadth.

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

Q4: What if the breadth is greater than the diameter?
A: This is geometrically impossible in a rectangle, as the diagonal (equal to diameter) must be the longest side.

Q5: How accurate is the calculation?
A: The calculation uses precise trigonometric functions and provides results with high accuracy up to 6 decimal places.