By Debmedia Technologies LLP · Kolkata, India · Updated
What Is It and When Do You Need It?
A rhombus is a tilted square. Diamonds on playing cards, kite designs and tile patterns are rhombuses.
Enter the two diagonals, or a side and an angle.
How to Use This Tool
- Enter the value or values asked for in the boxes.
- Choose the unit label if there is a choice.
- Press Calculate.
- Read every result in the table and copy what you need.
How the Calculation Works
From diagonals: side = ½√(p² + q²), area = pq ÷ 2, perimeter = 4 × side, and the acute angle = 2 × arctan(shorter ÷ longer). From a side s and angle θ: diagonals are 2s sin(θ ÷ 2) and 2s cos(θ ÷ 2), and area = s² sin θ.
Worked Example
Diagonals 6 and 8 give a side of 5, an area of 24, a perimeter of 20 and angles of 73.74° and 106.26°.
Common Uses
- Tiles and patterns.
- Kite and logo design.
- Geometry homework.
- Crafts.
Tips and Common Mistakes
- The diagonals are perpendicular, which makes right triangles.
- Angles add up to 360° around the shape.
- An angle of 90° gives a square.
- Measure carefully: a small error in a length is squared in an area and cubed in a volume, so a 5 percent error in a side can become a 10 percent error in the area or a 15 percent error in the volume.
- Round only at the end. If you copy a result into another calculation, copy the full number from the tool rather than a rounded one, so small errors do not build up.
Related Tools
Next, you may need the trapezoid calculator, rectangle calculator, regular polygon calculator, circle calculator.
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Frequently Asked Questions
Disclaimer: results are calculated in your browser from the numbers you enter. Check important results before you rely on them for money, health, safety or legal decisions.