Area Calculator
Calculate the area of different 3D shapes. A practical tool for architecture, engineering and design.
Sphere area
Formula: Sphere: S = 4πr²
Cube area
Formula: Cube: S = 6a²
Cylinder area
Formula: Cylinder: S = 2πr² + 2πrh
Cone area
Formula: Cone: S = πr² + πr√(r² + h²)
Rectangular prism area
Formula: Rectangular prism: S = 2(lw + lh + wh)
Triangle area
Formula: Triangle: S = (b × h) / 2
Understanding area
Area (surface) measures the extent of a 2D figure or the "shell" of a 3D solid. Results in square units (m², cm², etc.).
Before calculating, identify the figure and choose the right formula.
Key formulas
Square: S = a²
Rectangle: S = L × w
Triangle: S = (b × h) / 2
Circle: S = πr²
Sphere: S = 4πr²
Cylinder: S = 2πr² + 2πrh
Cone: S = πr² + πr√(r² + h²)
Cube: S = 6a²
Units and conversions
Check that all lengths are in the same unit before calculating.
- 1 m² = 10,000 cm².
- 1 km² = 1,000,000 m².
- 1 ha = 10,000 m².
- 1 are = 100 m².
Examples
Square: a=4 → S=16 cm².
Rectangle: 5 × 3 → S=15 cm².
Triangle: b=3, h=4 → S=6 cm².
Circle: r=2 → S≈12.57 cm².
Applications
- Calculation of living area or land area.
- Estimation of paint, tiles, fabric.
- Sizing of solar panels.
FAQ
- Complex figure? Break it down into simple shapes and add them up.
- Wrong unit? Align units first.
- Need help? The Math AI assistant can detail.