Geometry Calculator
Calculate area, volume, perimeter, and other geometric properties for various shapes
Shape Selection
Select the geometric shape you want to calculate
Units
Measurement Units:
Shape Preview
○
Circle Calculator
Enter radius in cm
Results
Select a shape and enter dimensions
Geometric calculations will appear here
Formulas Used
Quick Examples
Circle
○
Radius: 5 cm
Area: 78.54 cm²
Rectangle
▭
10 × 8 cm
Area: 80 cm²
Triangle
▲
Base: 6, Height: 8 cm
Area: 24 cm²
Sphere
●
Radius: 4 cm
Volume: 268.08 cm³
Geometry Reference
2D Shapes (Area & Perimeter)
- Circle: Area = πr², Circumference = 2πr
- Rectangle: Area = l×w, Perimeter = 2(l+w)
- Square: Area = s², Perimeter = 4s
- Triangle: Area = ½×b×h
Common Units
- Metric: mm, cm, m, km
- Imperial: in, ft, yd, mi
- Area: cm², m², ft², in²
- Volume: cm³, m³, ft³, in³
Key Concepts
- Area: Space inside a 2D shape
- Perimeter: Distance around a 2D shape
- Volume: Space inside a 3D shape
- Surface Area: Total area of all faces
3D Shapes (Volume & Surface Area)
- Sphere: Volume = 4/3πr³, Surface = 4πr²
- Cylinder: Volume = πr²h, Surface = 2πr(r+h)
- Cube: Volume = s³, Surface = 6s²
- Cone: Volume = 1/3πr²h
Important Constants
- π (Pi): ≈ 3.14159
- Used in: Circles, spheres, cylinders
- Exact calculations: Use π button for precision
Practical Applications
- Construction: Material estimation
- Landscaping: Garden area, fencing
- Interior Design: Room measurements
- Engineering: Component design