1. What is the Length of Rectangle Calculation?

This calculator determines the length of a rectangle using the area and the angle between the diagonal and the breadth. It employs trigonometric relationships to calculate the missing dimension.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l \) — Length of Rectangle (m)
• \( \angle db \) — Angle between Diagonal and Breadth of Rectangle (radians)
• \( A \) — Area of Rectangle (m²)

Explanation: The formula uses trigonometric tangent function and square root to calculate the length based on the given angle and area.

3. Importance of Length Calculation

Details: Calculating the length of a rectangle is essential in geometry, architecture, engineering, and various design applications where precise dimensions are required.

4. Using the Calculator

Tips: Enter the angle in radians and the area in square meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why use radians instead of degrees for the angle?
A: Trigonometric functions in mathematical calculations typically use radians as it's the standard unit in mathematics and programming.

Q2: What if I have the angle in degrees?
A: Convert degrees to radians by multiplying by π/180 before entering the value.

Q3: Can this formula be used for any rectangle?
A: Yes, this formula applies to all rectangles as long as you have the correct angle measurement and area.

Q4: What are the limitations of this calculation?
A: The angle must be between 0 and π/2 radians (0-90 degrees) for valid results, as tangent is undefined at π/2 and negative values don't make sense geometrically.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. The accuracy depends on the precision of your angle and area measurements.