1. What is the Breadth of Rectangle Formula?

The formula calculates the breadth of a rectangle when given the area and the angle between the diagonal and the breadth. This trigonometric approach provides an alternative method to determine rectangle dimensions using geometric properties.

2. How Does the Calculator Work?

The calculator uses the mathematical formula:

Where:

• \( Area \) — Total area of the rectangle (m²)
• \( Angle \) — Angle between the diagonal and breadth (degrees)
• \( \tan \) — Trigonometric tangent function
• \( \sqrt{} \) — Square root function

Explanation: The formula derives from the relationship between rectangle dimensions, diagonal, and trigonometric functions in right triangles formed by the diagonal.

3. Importance of Breadth Calculation

Details: Calculating breadth using this method is useful in geometry problems, architectural design, and engineering applications where the angle between diagonal and breadth is known rather than direct measurements.

4. Using the Calculator

Tips: Enter area in square meters and angle in degrees (must be between 0 and 90 degrees). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why use this formula instead of direct measurement?
A: This formula is useful when only the area and diagonal angle are known, avoiding the need for direct breadth measurement.

Q2: What angle range is valid for this calculation?
A: The angle must be between 0 and 90 degrees (exclusive) for the tangent function to work properly.

Q3: Can this formula be used for squares?
A: Yes, but for squares the angle between diagonal and any side is always 45 degrees, making the calculation simpler.

Q4: What are practical applications of this calculation?
A: Useful in construction, carpentry, graphic design, and any field requiring precise rectangle dimension calculations from limited information.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise, but accuracy depends on the precision of input measurements.