Geometry Calculator

What is a Geometry Calculator?

A geometry calculator is a tool that helps you calculate measurements for 2D and 3D shapes, including area, perimeter, volume, and surface area. Whether you're a student, teacher, engineer, or DIY enthusiast, this calculator makes complex geometry calculations simple and accurate.

How to Use This Calculator

1. Select shape type: Choose between 2D shapes or 3D shapes
2. Choose your shape: Select the specific shape you want to calculate
3. Enter measurements: Input the required dimensions
4. View results: Instantly see area, perimeter, volume, or surface area

Supported 2D Shapes

Circle

• Area: π × r²
• Circumference: 2 × π × r

Rectangle

• Area: length × width
• Perimeter: 2 × (length + width)

Square

• Area: side²
• Perimeter: 4 × side

Triangle

• Area: ½ × base × height
• Perimeter: side₁ + side₂ + side₃

Trapezoid

• Area: ½ × (base₁ + base₂) × height

Parallelogram

• Area: base × height

Ellipse

• Area: π × a × b (where a and b are semi-axes)

Supported 3D Shapes

Sphere

• Volume: (4/3) × π × r³
• Surface Area: 4 × π × r²

Cube

• Volume: side³
• Surface Area: 6 × side²

Rectangular Prism (Cuboid)

• Volume: length × width × height
• Surface Area: 2 × (lw + lh + wh)

Cylinder

• Volume: π × r² × height
• Surface Area: 2πr² + 2πrh

Cone

• Volume: (1/3) × π × r² × height
• Surface Area: πr² + πr × slant height

Pyramid (Square Base)

• Volume: (1/3) × base² × height
• Surface Area: base² + 2 × base × slant height

Frequently Asked Questions

What's the difference between area and perimeter?

Area measures the space inside a 2D shape (in square units), while perimeter measures the distance around the outside (in linear units).

What's the difference between volume and surface area?

Volume measures the space inside a 3D shape (in cubic units), while surface area measures the total area of all outer surfaces (in square units).

How accurate is this calculator?

This calculator uses standard mathematical formulas and provides results accurate to several decimal places. For practical applications, round to the appropriate precision for your needs.

Why do I need to enter different measurements for different shapes?

Each shape has unique properties that require specific measurements. For example, a circle only needs a radius, while a rectangle needs both length and width.

Tip: Always use consistent units (all inches, all centimeters, etc.) for accurate results.