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Parallelogram & Rhombus Calculator

Find the area, perimeter, height and diagonals of a parallelogram, or a rhombus from its diagonals.

°

Area

34.64101615

Perimeter
26
Height (to base a)
4.330127019
Diagonals
11.35781669 and 7

Show the work

  1. Height to base a

    h = b × sin θ

    5 × sin 60° = 4.330127019

  2. Area = base × height

    A = a × h

    8 × 4.330127019 = 34.64101615

How it works

Parallelogram: area = a × b × sin θ, diagonals² = a² + b² ± 2ab cos θ; rhombus: area = p × q ÷ 2, side = √((p/2)² + (q/2)²)

Questions

How does the parallelogram & rhombus calculator work?
Parallelogram: area = a × b × sin θ, diagonals² = a² + b² ± 2ab cos θ; rhombus: area = p × q ÷ 2, side = √((p/2)² + (q/2)²).
What do I need to enter?
Shape, Side a (base), Side b, Angle between them, Diagonal p, Diagonal q, Units. Optional fields can be left blank.

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