Math / CALCULATOR

Convex Kite from Diagonal Segments

Convex Kite from Diagonal Segments: 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 symmetry diagonal, segment p in units.
units
Enter symmetry diagonal, segment q in units.
units
Enter other diagonal half-length in units.

Formula

area=(p+q)t; sides=√(p²+t²), √(q²+t²); perimeter=2(side₁+side₂).
  • 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. The symmetry diagonal is split at the intersection into p and q; it bisects the perpendicular diagonal. Positive segments define a convex kite.

Example Calculation

Example inputs
  • Symmetry diagonal, segment p: 2 units
  • Symmetry diagonal, segment q: 6 units
  • Other diagonal half-length: 3 units

Diagonal segments 2 and 6 and perpendicular half-diagonal 3 give area 24 and perimeter about 20.6275.

Frequently asked questions

How do I use this calculator?

Enter symmetry diagonal, segment p, symmetry diagonal, segment q, other diagonal half-length. The result updates automatically. Use Reset to restore the example values.

What method does it use?

area=(p+q)t; sides=√(p²+t²), √(q²+t²); perimeter=2(side₁+side₂).. Ideal Euclidean geometry. Use one consistent length unit. Measurements and derived quantities use floating-point arithmetic. The symmetry diagonal is split at the intersection into p and q; it bisects the perpendicular diagonal. Positive segments define a convex kite.

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.