Area Calculator

Our free area calculator helps you find the area of any geometric shape. Calculate area for 2D shapes like triangles, circles, rectangles, squares, trapezoids, parallelograms, ellipses, and polygons. Also calculate surface area for 3D shapes. Perfect for students, teachers, construction, flooring, and land measurement.

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Rectangle
Formula
A = length × width
Area
50
Perimeter
30
m
Calculation
Area = 10 × 5
= 50 m²
Conversions
cm² 500,000
ft² 538.2
in² 77,500
yd² 59.8

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Rectangle Area: 10m × 5m = 50 m²

  • Area: 50 square meters
  • Perimeter: 30 meters (2×10 + 2×5)
  • Equivalent: ~538 sq ft or 0.005 hectares

Tip: This area could fit about 5 parking spaces or a small studio apartment.

lightbulb Tips

  • Rectangle: A = L × W
  • Circle: A = π × r²
  • Triangle: A = ½ × base × height
  • 1 acre = 4,047 m² = 43,560 ft²

square_foot Formulas

Rectangle L × W
Circle π × r²
Triangle ½ × b × h
Trapezoid ½(b₁+b₂)×h
Ellipse π × a × b
Conversions
1 m² = 10.764 ft²
1 acre = 4,047 m²

How to Use This Calculator

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Select Shape

Choose the geometric shape you want to calculate.

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Enter Dimensions

Input the required measurements (length, width, radius, etc.).

square_foot

Choose Unit

Select the unit of measurement (meters, feet, etc.).

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View Results

See the calculated area, perimeter, and step-by-step solution.

The Formula

Each geometric shape has its own formula for calculating area based on its dimensions.

Area formulas vary by shape

lightbulb Variables Explained

  • Rectangle A = length × width
  • Square A = side²
  • Triangle A = ½ × base × height
  • Circle A = π × radius²
  • Trapezoid A = ½ × (base₁ + base₂) × height
  • Ellipse A = π × a × b

tips_and_updates Pro Tips

1

Always use the same unit for all dimensions

2

For irregular shapes, try breaking them into simpler shapes

3

Circle area uses radius, not diameter (radius = diameter ÷ 2)

4

Triangle area can also be calculated using Heron's formula if you know all sides

5

1 acre = 4,046.86 m² = 43,560 ft²

6

1 hectare = 10,000 m² = 2.471 acres

Area Calculator - Calculate Area of Any Shape

Calculate the area of any geometric shape instantly. Our free area calculator supports rectangles, squares, triangles, circles, trapezoids, ellipses, and more with detailed step-by-step formulas.

Rectangle Area Calculator

Calculate the area of a rectangle by multiplying length times width. Perfect for calculating room area, flooring, walls, and rectangular land plots.

Triangle Area Calculator

Find the area of any triangle using base and height, or use Heron's formula when you know all three sides. Works for all triangle types.

Circle Area Calculator

Calculate circle area using the formula A = πr². Enter radius or diameter to find the area of circular spaces, pools, or round plots.

Land Area Calculator

Measure land area in square meters, acres, or hectares. Perfect for real estate, agriculture, and construction planning.

Room & Flooring Calculator

Calculate room area for flooring, carpeting, or painting. Works for rectangular rooms and can handle L-shaped spaces.

Step-by-Step Solutions

Learn how to calculate area with detailed explanations. Each calculation shows the formula and step-by-step solution.

Frequently Asked Questions

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Data sourced from trusted institutions

All formulas verified against official standards.