Area Calculator
Calculate area of different shapes easily
What is it?
This calculator finds the area of common 2D shapes — rectangle, square, circle, and triangle — using the standard geometric formula for each.
Formula
- Rectangle: Area = Length × Width
- Square: Area = Side²
- Circle: Area = π × Radius²
- Triangle: Area = ½ × Base × Height
Formula Explanation
Each formula measures how much flat space a shape covers, derived from its specific geometry — a rectangle's area comes from stacking Width rows of Length units, while a triangle's area is exactly half of the rectangle that would enclose it.
Example Calculation
A rectangle with length 8 and width 5 has an area of 40 square units.
How to Use
- Select the shape you want to calculate.
- Enter the required measurements for that shape.
- Click Calculate Area to see the result and formula used.
Benefits
- Covers four common shapes in a single calculator.
- Automatically applies the correct formula based on your shape selection.
- Shows the formula used alongside the result for transparency.
Use Cases
- Estimating flooring, paint, or material quantities for a room or surface.
- Homework and coursework involving basic geometry.
- Land or garden area estimation for planning purposes.
What Your Result Means
The result is the amount of flat surface the shape covers, expressed in square units matching your input measurement (e.g. square meters if you entered meters).
Tips
- Keep all measurements in the same unit before calculating — mixing units gives an incorrect area.
- For irregular shapes, break them into rectangles and triangles and sum their areas.
- Double the result of a triangle's base × height calculation would give you a parallelogram's area instead.
Common Mistakes
- Mixing different units (like meters and centimeters) within the same calculation.
- Using the diameter instead of the radius when calculating a circle's area.
- Forgetting to halve the base × height product when computing a triangle's area.
FAQs
What units does the result use?
The result is in square units matching whatever unit you entered — for example, if you enter measurements in meters, the area is in square meters.
Can I calculate area for other shapes?
This calculator covers rectangle, square, circle, and triangle — for 3D shapes, use the Surface Area or Volume calculators instead.
Do I use radius or diameter for a circle?
This calculator expects the radius (distance from center to edge) — if you only know the diameter, divide it by 2 first.
Why is a triangle's area half of base times height?
Any triangle is exactly half of a parallelogram with the same base and height, which is why the ½ factor appears in the formula.
Is a square just a special rectangle?
Yes, a square is a rectangle where length and width are equal, so its area formula (Side²) is a simplified case of the rectangle formula.
Results are in square units matching your input measurements.
Last updated: July 25, 2026