1. What is the Long Diagonal of Rhombus?

The Long Diagonal of a Rhombus is the length of the line joining the acute angle corners. It is the longer of the two diagonals in a rhombus and plays a crucial role in determining various geometric properties of the shape.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( d_{\text{Long}} \) — Long diagonal of rhombus (meters)
• \( h \) — Height of rhombus (meters)
• \( \theta \) — Acute angle of rhombus (degrees)
• \( \sin \) — Sine trigonometric function

Explanation: The formula derives from the trigonometric relationship between the height, acute angle, and the long diagonal of a rhombus.

3. Importance of Long Diagonal Calculation

Details: Calculating the long diagonal is essential for various geometric applications, including area calculation, construction planning, and understanding the spatial properties of rhombus-shaped objects.

4. Using the Calculator

Tips: Enter the height in meters and the acute angle in degrees (must be between 0° and 90°). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between long and short diagonals?
A: The long diagonal connects the acute angles, while the short diagonal connects the obtuse angles of the rhombus.

Q2: Can this formula be used for any rhombus?
A: Yes, this formula applies to all rhombuses regardless of their side lengths, as long as the height and acute angle are known.

Q3: What if I only know the side length and acute angle?
A: You can first calculate the height using h = side × sin(θ), then use this calculator.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values. The accuracy depends on the precision of your measurements.

Q5: Can this calculator handle different units?
A: The calculator uses meters by default, but you can use any consistent unit system as long as you maintain unit consistency.