1. What is the Breadth of Rectangle Formula?

The formula calculates the breadth of a rectangle using the diagonal length and the angle between the diagonal and the length of the rectangle. This trigonometric approach provides an alternative method to find the rectangle's breadth when these specific measurements are known.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Breadth of Rectangle (m)
• \( d \) — Diagonal of Rectangle (m)
• \( \angle dl \) — Angle between Diagonal and Length of Rectangle (radians)

Explanation: The formula utilizes the sine trigonometric function to relate the diagonal, the angle, and the breadth of the rectangle in a right triangle configuration.

3. Importance of Rectangle Breadth Calculation

Details: Calculating the breadth of a rectangle is essential in various geometric and real-world applications, including construction, design, and spatial analysis. This specific method is particularly useful when diagonal measurements and angles are more readily available than direct breadth measurements.

4. Using the Calculator

Tips: Enter the diagonal length in meters and the angle in degrees between the diagonal and the length. The angle should be between 0° and 90°. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why use this formula instead of direct measurement?
A: This formula is useful when direct breadth measurement is impractical or impossible, but diagonal length and angle measurements are available.

Q2: What angle range is valid for this calculation?
A: The angle should be between 0° and 90° as it represents the angle between the diagonal and the length side of the rectangle.

Q3: Can this formula be used for squares?
A: Yes, the formula works for squares as well, since a square is a special case of a rectangle.

Q4: What if I have the angle in radians instead of degrees?
A: The calculator automatically converts degrees to radians. If you have radians, you would need to convert to degrees first or modify the calculation.

Q5: How accurate is this calculation?
A: The accuracy depends on the precision of your input measurements. The calculator provides results with up to 6 decimal places for precise calculations.