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 spatial relationships within rectangular shapes.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l \) — Length of the rectangle (longer side)
• \( b \) — Breadth of the rectangle (shorter side)
• \( \arctan \) — Inverse tangent function

Explanation: The formula calculates the angle using the trigonometric relationship between the opposite side (length) and adjacent side (breadth) in the right triangle formed by the diagonal.

3. Importance of Angle Calculation

Details: Calculating this angle is important in geometry, engineering, and architectural design where precise angular measurements are required for structural analysis and spatial planning.

4. Using the Calculator

Tips: Enter the length and breadth of the rectangle in meters. Both values must be positive numbers greater than zero. The calculator will compute the angle in degrees.

5. Frequently Asked Questions (FAQ)

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

Q2: How is this different from the angle with the length?
A: The angle with the length is the complementary angle (90° minus this angle), as the diagonal forms two complementary angles with the sides.

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

Q4: What units should be used for input?
A: The calculator accepts any consistent units, but outputs angle in degrees. Ensure both length and breadth use the same units.

Q5: Is the result always in degrees?
A: Yes, the calculator converts the radian result from the arctan function to degrees for easier interpretation.