1. What is the Area of Rectangle Formula?

The formula calculates the area of a rectangle when given the length and the acute angle between its diagonals. This provides an alternative method to the standard length × width calculation.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( A \) — Area of Rectangle (m²)
• \( l \) — Length of Rectangle (m)
• \( \theta \) — Acute Angle between Diagonals of Rectangle (°)

Explanation: The formula derives from the geometric properties of rectangles and trigonometric relationships between the sides and diagonals.

3. Importance of Area Calculation

Details: Calculating the area of rectangles is fundamental in geometry, architecture, engineering, and various practical applications where surface measurements are required.

4. Using the Calculator

Tips: Enter the length in meters and the acute angle between diagonals in degrees. The angle must be between 0° and 90° (exclusive).

5. Frequently Asked Questions (FAQ)

Q1: Why use this formula instead of length × width?
A: This formula is useful when you know the length and the angle between diagonals but not the width, providing an alternative calculation method.

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

Q3: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values, using trigonometric functions to determine the area.

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 area result will be in square meters.