Area Calculator
Calculate the area of various geometric shapes with precision. Features include visualizations, step-by-step solutions, comparison tools, and calculation history.
Calculator
Select a shape and enter dimensions to calculate its area. Get instant results with visualizations and step-by-step solutions.
Area
0
m²
Shape
-
Perimeter
-
Unit
-
Status
Calculated
Shape Visualization
Shape will be displayed here after calculation
Shape drawn to scale with labeled dimensions
Detailed Results
Formula Used:
Step-by-Step Solution
Area Gauge
Shape Properties
Area vs Perimeter Comparison
Complete User Guide
What is the Area Calculator?
The Area Calculator is a free tool that calculates the area of various geometric shapes with high precision. It uses advanced mathematical formulas and provides step-by-step solutions to help you understand the calculation process.
This calculator supports 13 different geometric shapes including rectangles, circles, triangles, polygons, and more. Each calculation includes detailed results, formulas, and visual representations.
How to Use This Calculator
- Select a shape from the dropdown menu (Rectangle, Circle, Triangle, etc.)
- Choose your preferred unit of measurement (meters, centimeters, inches, etc.)
- Enter the required dimensions for your selected shape
- Click 'Calculate Area' to get instant results
- View detailed results, formulas, and step-by-step solutions
- Use charts and visualizations to better understand the calculations
- Export results or save to calculation history for future reference
Supported Shapes & Formulas
Rectangle
A = l × w
Length × Width
Square
A = s²
Side squared
Circle
A = πr²
Pi × Radius²
Triangle
A = ½ × b × h
Half × Base × Height
Trapezoid
A = ½(a+b) × h
Half × (Base1+Base2) × Height
Ellipse
A = πab
Pi × Semi-major × Semi-minor
Parallelogram
A = b × h
Base × Height
Rhombus
A = ½ × d₁ × d₂
Half × Diagonal1 × Diagonal2
Pentagon
A = (1/4)√(5(5+2√5))s²
Regular pentagon formula
Hexagon
A = (3√3/2)s²
Regular hexagon formula
Octagon
A = 2(1+√2)s²
Regular octagon formula
Sector
A = ½r²θ
Half × Radius² × Angle (radians)
Annulus
A = π(R² - r²)
Pi × (Outer Radius² - Inner Radius²)
Understanding Your Results
Area
The calculated area of your shape in square units. This is the primary result showing how much space the shape covers.
Perimeter/Circumference
The total distance around the shape. For circles, this is called circumference. For polygons, it's the sum of all side lengths.
Step-by-Step Solution
A detailed breakdown of how the area was calculated, showing each step of the formula application.
Charts & Visualizations
Visual representations of your calculation including area gauge, properties comparison, and shape measurements.
Important Notes
- All measurements must be in the same unit. The calculator will display results in square units (e.g., m², cm², in²).
- For regular polygons (pentagon, hexagon, octagon), all sides must be equal length.
- Calculations use high-precision mathematics (SymPy) for accurate results, especially for circular shapes.
- Results are rounded to 8 decimal places for display, but calculations use full precision internally.
Tips & Best Practices
- Always use consistent units for all measurements
- Double-check your input values before calculating
- Use the step-by-step solution to understand the calculation process
- Review charts and visualizations to better understand your results
- Export results for documentation or sharing
- Save important calculations using the history feature