1. What is the Length of Rectangle Calculation?

This calculator determines the length of a rectangle when given its area and the angle between the diagonal and the length. It uses trigonometric relationships to compute the length based on these inputs.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The formula derives from the relationship between the rectangle's dimensions, area, and the trigonometric tangent function applied to the given angle.

3. Importance of Length Calculation

Details: Calculating the length of a rectangle from its area and a diagonal angle is useful in various geometric, architectural, and engineering applications where partial dimension information is available.

4. Using the Calculator

Tips: Enter the area in square meters and the angle in radians. The angle should be between 0 and π/2 radians (0-90 degrees). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Why use this specific formula?
A: This formula efficiently calculates the length using the area and the angle between the diagonal and length, leveraging trigonometric identities.

Q2: What if the angle is in degrees?
A: Convert degrees to radians by multiplying by π/180 before input. The calculator expects angle values in radians.

Q3: Can this calculator handle very large areas?
A: Yes, as long as the input values are valid positive numbers within the acceptable ranges.

Q4: What are the limitations of this calculation?
A: The calculation assumes a perfect rectangle and may not account for measurement errors in real-world scenarios.

Q5: Is this applicable to all types of rectangles?
A: Yes, this formula works for any rectangle as long as the angle between the diagonal and length is known along with the area.