1. What is the Perimeter of Rectangle Formula?

The formula calculates the perimeter of a rectangle when given the length and the angle between the diagonal and the length. This provides an alternative method to calculate perimeter using trigonometric relationships.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The formula uses trigonometric relationships to calculate the perimeter based on the given length and the angle between the diagonal and the length side.

3. Importance of Perimeter Calculation

Details: Calculating perimeter is essential in various fields including construction, architecture, land surveying, and manufacturing. It helps determine the total boundary length of rectangular shapes.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why use this formula instead of the standard perimeter formula?
A: This formula is useful when you know the length and the angle between the diagonal and length, but not the width of the rectangle.

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

Q3: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values. The accuracy depends on the precision of your measurements.

Q4: Can this formula be used for squares?
A: Yes, since a square is a special case of rectangle, this formula works for squares as well.

Q5: What units should I use for the inputs?
A: Length should be in meters and angle in degrees. The calculator will output perimeter in meters.