1. What is the Area of Rectangle Formula?

The area of a rectangle can be calculated using the length and the angle between the diagonal and the breadth. This formula provides an alternative method to calculate area when these specific measurements are known.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( A \) — Area of Rectangle (m²)
• \( l \) — Length of Rectangle (m)
• \( \angle db \) — Angle between Diagonal and Breadth of Rectangle (degrees)
• \( \cot \) — Cotangent trigonometric function

Explanation: The formula derives from trigonometric relationships in a rectangle, where the cotangent of the angle relates the length and breadth dimensions.

3. Importance of Rectangle Area Calculation

Details: Calculating the area of rectangles is fundamental in geometry, architecture, engineering, and various practical applications involving surface measurements and space planning.

4. Using the Calculator

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

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 the diagonal and breadth, but not the actual breadth measurement.

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 is the cotangent function calculated?
A: Cotangent is the reciprocal of tangent, calculated as adjacent side divided by opposite side in a right triangle.

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, angle in degrees. The area result will be in square meters.