Math / CALCULATOR

Rhombus from Side and Angle

Rhombus from Side and Angle: explicit measurements, a worked example and input validation.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

units
Enter side in units.
°
Enter interior angle in °.

Formula

area=a²sin θ; diagonals=2a cos(θ/2), 2a sin(θ/2); height=a sin θ.
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Ideal Euclidean geometry. Use one consistent length unit. Measurements and derived quantities use floating-point arithmetic.

Example Calculation

Example inputs
  • Side: 5 units
  • Interior angle: 60 °

Side 5 and angle 60° give area 25√3/2, perimeter 20 and diagonals 5√3 and 5.

Frequently asked questions

How do I use this calculator?

Enter side, interior angle. The result updates automatically. Use Reset to restore the example values.

What method does it use?

area=a²sin θ; diagonals=2a cos(θ/2), 2a sin(θ/2); height=a sin θ.. Ideal Euclidean geometry. Use one consistent length unit. Measurements and derived quantities use floating-point arithmetic.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.