1. What is the Perimeter of Rectangle?

The perimeter of a rectangle is the total length of all its sides. It represents the distance around the outer boundary of the rectangle and is calculated as twice the sum of its length and breadth.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Perimeter of Rectangle (m)
• \( b \) — Breadth of Rectangle (m)
• \( \angle_{d(acute)} \) — Acute Angle between Diagonals of Rectangle (°)
• \( \cot \) — Cotangent trigonometric function

Explanation: This formula calculates the perimeter of a rectangle using its breadth and the acute angle between its diagonals, leveraging trigonometric relationships.

3. Formula Explanation

Details: The formula derives from the geometric properties of rectangles where the diagonals create congruent triangles with specific angular relationships that can be expressed using trigonometric functions.

4. Using the Calculator

Tips: Enter the breadth of the rectangle 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: What is the range of valid angle values?
A: The acute angle between diagonals must be between 0° and 90° (exclusive) for the calculation to be valid.

Q2: Can this formula be used for squares?
A: Yes, since a square is a special case of rectangle, but the acute angle between diagonals in a square is always 90°.

Q3: What units should be used for inputs?
A: Breadth should be in meters, and angle should be in degrees. The result will be in meters.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise based on the input values, with results rounded to 6 decimal places.

Q5: What if I have the length instead of breadth?
A: This specific calculator requires the breadth. For length-based calculations, a different formula would be needed.