1. What is the Breadth of Rectangle Formula?

The formula calculates the breadth of a rectangle when given its area and the acute angle between its diagonals. This relationship is derived from geometric properties of rectangles and trigonometric functions.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Breadth of the rectangle (m)
• \( A \) — Area of the rectangle (m²)
• \( \theta \) — Acute angle between diagonals (degrees)

Explanation: The formula combines geometric properties of rectangles with trigonometric functions to determine the breadth when area and diagonal angle are known.

3. Importance of Breadth Calculation

Details: Calculating the breadth of a rectangle is essential in various geometric applications, construction projects, and design calculations where rectangular dimensions need to be determined from known properties.

4. Using the Calculator

Tips: Enter the area in square meters and the acute angle between diagonals in degrees. The angle must be between 0 and 90 degrees, and the area must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why use this specific formula?
A: This formula provides a direct relationship between the area, diagonal angle, and breadth of a rectangle, making it efficient for calculations.

Q2: What is the range of valid angle values?
A: The acute angle between diagonals must be between 0 and 90 degrees (exclusive) for the formula to be valid.

Q3: Can this formula be used for squares?
A: Yes, but for squares the acute angle between diagonals is always 90 degrees, making the calculation straightforward.

Q4: What units should be used?
A: The calculator uses meters for length and square meters for area, but the formula works with any consistent unit system.

Q5: Are there limitations to this formula?
A: The formula assumes a perfect rectangle and may not account for measurement errors or irregular shapes.