1. What is the Length of Rectangle Formula?

The formula calculates the length of a rectangle using its breadth and the angle between the diagonal and breadth. This trigonometric approach provides an alternative method to determine rectangle dimensions when specific angle information is available.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l \) — Length of Rectangle (m)
• \( b \) — Breadth of Rectangle (m)
• \( \angle db \) — Angle between Diagonal and Breadth of Rectangle (degrees)

Explanation: The formula utilizes the tangent trigonometric function to calculate the length based on the given angle and breadth measurement.

3. Importance of Length Calculation

Details: Accurate length calculation is essential for various geometric applications, construction projects, architectural designs, and engineering calculations involving rectangular shapes.

4. Using the Calculator

Tips: Enter breadth in meters, angle in degrees (between 0 and 90). Both values must be positive numbers with breadth > 0 and angle between 0-90 degrees.

5. Frequently Asked Questions (FAQ)

Q1: Why use this trigonometric approach?
A: This method provides an alternative way to calculate rectangle dimensions when angle information is available instead of direct length measurements.

Q2: What is the valid range for the angle input?
A: The angle must be between 0 and 90 degrees. At 0 degrees, the length would be 0, and at 90 degrees, the tangent approaches infinity.

Q3: How accurate is this calculation?
A: The calculation is mathematically precise based on trigonometric principles, assuming accurate input values.

Q4: Can this formula be used for any rectangle?
A: Yes, this formula applies to all rectangles regardless of size, as long as the angle between the diagonal and breadth is known.

Q5: What if I know the diagonal length instead?
A: If you know the diagonal length, you can use the Pythagorean theorem: \( l = \sqrt{d^2 - b^2} \) where d is the diagonal length.