Parallelogram Calculator
What is the area of a parallelogram from its side lengths and included angle? Enter the values below to calculate the result.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| Base (length) | Enter base in length; use the same basis as the other measurements. |
| Side (length) | Enter side in length; use the same basis as the other measurements. |
| Angle (degree) | Enter angle in degree; use the same basis as the other measurements. |
Understanding your result
Read area (length^2), perimeter (length) in the units and model stated on this page. The formula area=base*side*sin(angle*pi/180) · perimeter=2*(base+side) defines the relationship; measurement accuracy and model applicability are separate from numerical precision.
Common mistakes
- Mixing input units or changing the physical meaning of a variable without changing the model.
Check your calculation
- Use the worked example as a known reference case, then change one input at a time and check the direction and units of the response.
Calculation checks, sources and review limits
What is the area of a parallelogram from its side lengths and included angle?
What is the area of a parallelogram from its side lengths and included angle? Enter the values below to calculate the result.
Common uses
- What is the area of a parallelogram from its side lengths and included angle
How it works
area=base*side*sin(angle*pi/180); perimeter=2*(base+side)
Worked example
Enter Base: 5 length; Side: 3 length; Angle: 90 degree. Results: area: 15 length^2; perimeter: 16 length.