How to calculate area of irregular shapes?

Decompose irregular shapes into multiple regular shapes (rectangles, triangles, circles, etc.), calculate each area separately and sum them. Our composite shape function can help with such calculations.

What methods exist for triangle area calculation?

Two main methods: 1) Base-height formula: Area = (Base × Height) ÷ 2; 2) Heron's formula: Use when three side lengths are known. Our calculator supports both methods.

How does unit conversion work?

Select input and output units, the system automatically converts. For example: 1m² = 10,000cm² = 10.764ft².

What's the π value used in circle area?

We use high-precision π value (3.141592653589793) to ensure calculation accuracy.

How to verify if triangle input is valid?

The system automatically checks triangle side relationships: sum of any two sides must be greater than the third side. Invalid input will show warning messages.

What's the purpose of visual representations?

Visual representations help you intuitively understand shape geometry and dimension relationships, verify input parameters are reasonable, and deepen understanding of geometric concepts.

How accurate are large area calculations?

Supports high-precision calculations, but recommend using appropriate units to avoid extremely large values. For example, use square kilometers instead of square millimeters for large areas.

How is ellipse area calculated?

Ellipse area = π × semi-major axis × semi-minor axis. Semi-major and semi-minor axes are half the longest and shortest diameters respectively.

How to calculate area of irregular shapes?

Decompose irregular shapes into multiple regular shapes (rectangles, triangles, circles, etc.), calculate each area separately and sum them. Our composite shape function can help with such calculations.

What methods exist for triangle area calculation?

Two main methods: 1) Base-height formula: Area = (Base × Height) ÷ 2; 2) Heron's formula: Use when three side lengths are known. Our calculator supports both methods.

How does unit conversion work?

Select input and output units, the system automatically converts. For example: 1m² = 10,000cm² = 10.764ft².

Area Calculator

Learn how to calculate square footage for rectangles, circles, triangles, and more. Professional square footage calculator with visual preview and step-by-step instructions.

Basic

Rectangle

Example:

Length: 5, Width: 3 = 15 sq ft

Input Unit

Output Unit

Length*(m²)

Width*(m²)

Basic

Square

Example:

Side: 4 = 16 sq ft

Input Unit

Output Unit

Side*(m²)

Basic

Circle

Example:

Radius: 3 = 28.27 sq ft

Input Unit

Output Unit

Radius(m²)

Diameter(m²)

Provide radius or diameter. If diameter is provided, it will be converted to radius.

Basic

Triangle

Example:

Base: 6, Height: 4 = 12 sq ft

Input Unit

Output Unit

Base(m²)

Height(m²)

Side A(m²)

Side B(m²)

Side C(m²)

Provide (base and height) or (all three sides). For three sides, calculation uses Heron's formula.

Usage Guide

How to Calculate Square Footage & Area - Complete Guide

The area calculator is a professional geometric shape area calculation tool, supporting rectangles, circles, triangles, trapezoids, ellipses and more. Provides visual preview and detailed calculation steps, supports multiple unit conversions.

Main Purpose

Main uses: home renovation area calculations, engineering construction area measurements, landscape design planning, learning geometry, material quantity estimation, etc.

Steps

Step 1

Select the type of shape you want to calculate

Step 2

Enter the shape's dimension parameters

Step 3

Choose appropriate units (meters, centimeters, inches, etc.)

Step 4

View calculation results and visual representation

Step 5

Check detailed calculation steps and formula explanations

Requirements

Positive Inputs

All dimensions must be positive numbers

Unit Selection

Supports both metric and imperial units

Precision

Supports precision up to 6 decimal places

Recommended Range

Recommend entering reasonable dimension ranges to ensure calculation accuracy

Important Notes

Triangle Rule

Triangle: Sum of any two sides must be greater than the third side

Unit Consistency

Ensure all inputs use the same units

Large Numbers

Extremely large values may affect visualization

Use Cases

Real-World Application Scenarios

Learn how to apply the calculator through real scenarios

Example 1

Home Renovation

Living room is 5 meters long and 4 meters wide, how many square meters of flooring needed?

Solution:

Rectangle area = Length × Width = 5m × 4m = 20m²

Example 2

Garden Planning

Circular flower bed with 2-meter radius, what's the area?

Solution:

Circle area = π × radius² = 3.14159 × 2² = 12.57m²

Example 3

Wall Painting

Wall is 3 meters high and 4 meters wide, how much paint needed?

Solution:

Wall area = 3m × 4m = 12m², calculate paint quantity based on coverage rate

Principles

Calculation Principles Explained

Understand the calculation principles and mathematical formulas

Basic Concepts

Geometric Concept

Area is the size of the plane occupied by a two-dimensional shape, usually expressed in square units.

Unit Types

Common units: square meters (m²), square centimeters (cm²), square inches (in²), square feet (ft²)

Measurement Insights

Area measurement is a fundamental concept in geometry and practical applications

Formulas

Rectangle

Area = Length × Width

Rectangle area equals the product of two adjacent side lengths

Circle

Area = π × radius²

Pi (π) approximately equals 3.14159, radius is the distance from center to edge

FAQ

Frequently Asked Questions

Most common questions and detailed answers