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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Area Calculator calculator

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

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 the Area 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

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.

Trapezium and Trapezoid Area Calculator

A trapezium (called a trapezoid in American English) has one pair of parallel sides. Its area is A = ½ × (base₁ + base₂) × height — add the two parallel sides, multiply by the perpendicular height, and halve. For example, parallel sides of 8 m and 12 m with a height of 5 m give ½ × (8 + 12) × 5 = 50 m². The calculator above takes both parallel bases and the height directly.

Parallelogram and Rhombus Area

A parallelogram's area is base × perpendicular height (not the slanted side): A = b × h. A rhombus can use the same base × height, or the diagonal method A = ½ × d₁ × d₂ when both diagonals are known. A 10 cm base with 6 cm height gives 60 cm²; diagonals of 8 cm and 6 cm give ½ × 8 × 6 = 24 cm².

Square Footage Calculator for Rooms and Floors

Square footage is area measured in square feet — length in feet times width in feet. A 12 ft × 15 ft room is 180 sq ft. For flooring, carpet, tile, or paint estimates, measure each rectangular section in feet, multiply, and add the parts for L-shaped rooms. Switch the unit selector to feet to read results directly in square feet.

How to Measure Land Area for a Survey

For a rectangular plot, multiply length × width. For an irregular plot, split it into triangles and rectangles from a sketch of the boundary, calculate each piece, and sum them — the method land surveyors use. Common land units: 1 acre = 4,046.86 m² = 43,560 sq ft, and 1 hectare = 10,000 m² = 2.471 acres. Enter your measured dimensions and the calculator converts the area into acres and hectares automatically.

Area Unit Conversions: Square Meters, Square Feet, Acres and Hectares

Area converts between units by the square of the linear factor: 1 m² = 10.764 sq ft, 1 acre = 4,046.86 m², 1 hectare = 10,000 m², and 1 km² = 100 hectares. The calculator shows your result across metric and imperial area units at once, so a plot entered in metres can be read instantly in square feet or acres.

Area of Irregular and Composite Shapes

Real-world spaces — gardens, floor plans, plots — are rarely one clean shape. Break the outline into rectangles, triangles, and circle parts, compute each area separately, then add them (and subtract cut-outs like a pillar or pond). This composite method turns any irregular shape into a sum of shapes the calculator already handles.

Frequently Asked Questions

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Data sourced from trusted institutions

All formulas verified against official standards.