Geometric Area Calculator
Calculate the area of various geometric shapes like circles, rectangles, triangles, and polygons with our intuitive online tool.
Select a shape and enter dimensions to calculate its area.
How to Use the Geometric Area Calculator
What is Area?
Area quantifies the extent of a two-dimensional figure or shape, or planar lamina, in the plane. It is expressed in square units, such as square meters (m²), square centimeters (cm²), or square feet (ft²). Each geometric shape has a unique formula to determine its area based on its specific dimensions.
Using the Calculator
- Select the shape you want to calculate from the dropdown menu
- Enter the required measurements in the input fields
- Click the "Calculate Area" button
- View the detailed result, including the formula used
- Copy the result if needed
Example - Circle:
Shape: Circle
Radius: 5
Result: Area = π × r² = 3.14159 × 5² = 78.54 square units
Supported Shapes
- Circle: Area = π × r²
- Rectangle: Area = length × width
- Square: Area = side²
- Triangle: Area = ½ × base × height
- Parallelogram: Area = base × height
- Trapezoid: Area = ½ × (base₁ + base₂) × height
- Ellipse: Area = π × a × b
- Rhombus: Area = ½ × diagonal₁ × diagonal₂
Frequently Asked Questions (FAQ)
You can use any unit of measurement (meters, centimeters, inches, feet, etc.) as long as you're consistent. The result will be in the square of whatever unit you input. For example, if you enter measurements in centimeters, the area will be in square centimeters (cm²).
Our calculator uses precise mathematical formulas and provides results with high accuracy. For calculations involving π (pi), we use the value 3.14159265359 for precise results. The accuracy depends on the precision of your input measurements.
This calculator is designed for regular geometric shapes with standard formulas. For irregular shapes, you would need to break them down into smaller regular shapes or use more advanced mathematical methods like integration or approximation techniques.
If you don't know the height but have all three sides of a triangle, you can use Heron's formula: Area = √[s(s-a)(s-b)(s-c)], where s is the semi-perimeter (a+b+c)/2. However, this calculator currently uses the base-height formula for simplicity.
We provide a number of calculations to ensure the sustainability of our service. You can unlock unlimited access for 30 days by completing a simple offer. This approach helps us maintain and improve the service for all users.