Geometry Calculator
Calculate measurements for common 2D and 3D shapes.
How do I find the area of a shape?
Each shape has its own area and perimeter formula, applied to the measurements you enter.
Formula: Uses standard Euclidean area, perimeter, surface-area, and volume formulas for the selected shape.
Area
50cm²
- Shape
- Rectangle
- Additional result
- Perimeter: 30 cm
What this calculator does
Choose a shape and calculate its area, perimeter, surface area, or volume from relevant dimensions.
Use it to turn Shape, Length / radius / base, Width / height, Depth, and the other shown inputs into a checked result you can compare, copy, or rerun with different assumptions.
The page shows the formula, a numeric worked example, and the assumptions that affect this math calculation.
Inputs and what they mean
- Shape
- — choice value.
- Length / radius / base
- — number value.
- Width / height
- — number value.
- Depth
- — number value.
- Unit
- — choice value.
How to use it
- Enter the requested values.
- Choose the calculation mode when available.
- Review the result and supporting breakdown.
Formula
Uses standard Euclidean area, perimeter, surface-area, and volume formulas for the selected shape.
Inputs used: Shape, Length / radius / base, Width / height, Depth, Unit.
Edge handling: Length / radius / base is required.; Length / radius / base must be greater than zero.; Width / height is required.; Width / height must be greater than zero.; Depth is required..
Worked example
10 × 5 rectangle
- Start with Shape: rectangle, Length / radius / base: 10, Width / height: 5, Depth: 3, Unit: cm.
- Apply the method: Uses standard Euclidean area, perimeter, surface-area, and volume formulas for the selected shape.
- Area is 50 square centimetres and perimeter is 30 centimetres.
Reading the result
The headline figure is the main answer. Any breakdown underneath shows the parts that make it up, so you can check the working and see what changes when you adjust an input.
Limitations and assumptions
- Inputs outside the supported range are rejected rather than forced into a result.
- The result depends on the values you enter for this geometry calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.
Common questions
How do I find the area of a shape?
Each shape has its own area and perimeter formula, applied to the measurements you enter. Check the formula, example, and limitations on this page before using the result for a real math decision.
What triangle height is required?
Enter the perpendicular height from the base. Check the formula, example, and limitations on this page before using the result for a real math decision.
Does changing unit convert existing values?
No. The entered dimensions are interpreted in the selected unit.
How do I use the Geometry Calculator?
Enter the required values for Shape, Length / radius / base, Width / height, Depth, Unit. The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.
What formula does the Geometry Calculator use?
Uses standard Euclidean area, perimeter, surface-area, and volume formulas for the selected shape. The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone.
Can the Geometry Calculator be used for exact decisions?
Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.
Cite this page
Free Calculator. (n.d.). Geometry Calculator. https://freecalculator.tech/tools/geometry-calculator
"Geometry Calculator." Free Calculator, https://freecalculator.tech/tools/geometry-calculator.
Geometry Calculator — Free Calculator, https://freecalculator.tech/tools/geometry-calculator
Related tools
Calculate percentages, proportions, and percentage change with a clear formula breakdown.
Calculate a value after a percentage increase and see the exact increase amount.
Calculate a value after a percentage decrease and see the exact reduction.