1. What is the Area of Rectangle Formula?

The area of a rectangle given length and angle between diagonal and length is calculated using the formula \( A = l^2 \times \tan(\angle dl) \), where \( l \) is the length of the rectangle and \( \angle dl \) is the angle between the diagonal and the length.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The formula calculates the area by squaring the length and multiplying by the tangent of the angle between the diagonal and the length side.

3. Importance of Area Calculation

Details: Calculating the area of a rectangle is fundamental in geometry and has practical applications in construction, land measurement, and various engineering fields.

4. Using the Calculator

Tips: Enter the length in meters and the angle in degrees (between 0 and 90). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why use this specific formula for rectangle area?
A: This formula is useful when you know the length and the angle between the diagonal and length, providing an alternative to the standard length × width calculation.

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

Q3: How is the tangent function used in this calculation?
A: The tangent of the angle helps determine the ratio between the width and length of the rectangle, which is essential for area calculation.

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

Q5: What are the measurement units for the result?
A: The area result is in square meters (m²), matching the unit of the length input.