1. What is the Length of Rectangle Formula?

The formula calculates the length of a rectangle when given its breadth and the angle between the diagonal and the length. This trigonometric approach provides an accurate measurement based on geometric principles.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l \) — Length of Rectangle (m)
• \( b \) — Breadth of Rectangle (m)
• \( \angle_{dl} \) — Angle between Diagonal and Length of Rectangle (°)

Explanation: The formula uses the tangent trigonometric function to relate the angle between the diagonal and length with the ratio of breadth to length.

3. Importance of Rectangle Length Calculation

Details: Calculating rectangle dimensions is fundamental in geometry, architecture, engineering, and various design applications where precise measurements are required.

4. Using the Calculator

Tips: Enter breadth in meters and angle in degrees. The angle must be between 0° and 90° (exclusive). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why use the tangent function in this calculation?
A: The tangent function relates the opposite side (breadth) to the adjacent side (length) in the right triangle formed by the diagonal.

Q2: What is the valid range for the angle input?
A: The angle must be between 0° and 90° (exclusive) as these represent the possible angles in a rectangle.

Q3: Can this formula be used for squares?
A: Yes, but for squares (where length = breadth), the angle between diagonal and length would always be 45°.

Q4: What if I have the angle in radians instead of degrees?
A: You would need to convert radians to degrees first, as this calculator expects degree input.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the inputs provided, with results rounded to 6 decimal places.