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Area Calculator

Calculate area of circles, triangles, rectangles, squares, trapezoids, parallelograms, ellipses, and polygons. Perfect for students, teachers, and professionals.

Circle Dimensions

Circle

A circle is a round plane figure whose boundary consists of points equidistant from a fixed center point.

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5 units
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Formula: Area = π × r² (where r is radius)
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Formula: Area = ½ × base × height
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Formula: Area = length × width
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8 units
Formula: Area = side²
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Formula: Area = ½ × (base1 + base2) × height
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Formula: Area = base × height
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Formula: Area = π × a × b
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6 sides
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Formula: Area = (n × s²) ÷ (4 × tan(π/n)) where n = number of sides, s = side length

Area Calculation

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Area
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Perimeter
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Circumference
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Dimension 1
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Dimension 2
Shape Properties
Radius
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Area Comparison

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Circle
Area of circle with same "size"

Area Formulas

Circle

A = π × r²

Area equals pi times radius squared. Pi (π) is approximately 3.14159.

Triangle

A = ½ × b × h

Area equals one-half times base times height. For three sides, use Heron's formula.

Rectangle

A = l × w

Area equals length times width. All angles are 90 degrees.

Square

A = s²

Area equals side squared. Special case of rectangle with equal sides.

Trapezoid

A = ½(b₁ + b₂) × h

Area equals one-half times sum of bases times height. Has one pair of parallel sides.

Parallelogram

A = b × h

Area equals base times height. Opposite sides are parallel and equal.

Real World Applications

Room Flooring

Calculate how much flooring material you need for a rectangular room.

Room: 12ft × 15ft = 180 sq ft

Garden Planning

Determine how many plants you can fit in a circular garden bed.

Radius 5ft → Area = 78.5 sq ft

Pizza Size Comparison

Compare areas of different pizza sizes to find the best value.

12" pizza: 113 sq in, 16" pizza: 201 sq in

Paint Coverage

Calculate how much paint you need for walls of different shapes.

Wall: 10ft × 8ft = 80 sq ft per coat

Pool Surface Area

Calculate surface area for pool maintenance and chemical treatment.

Oval pool: 20ft × 10ft = 157 sq ft

Agricultural Land

Calculate area of irregular fields for planting and irrigation planning.

Triangular field: base 100m, height 50m = 2500 sq m

Features of Our Area Calculator

8 Different Shapes

Calculate area for circles, triangles, rectangles, squares, trapezoids, parallelograms, ellipses, and polygons.

Multiple Calculation Methods

Calculate triangles using base-height, three sides, or two sides and included angle.

Visual Shape Preview

See visual representations of each shape with accurate proportions based on your inputs.

Area Comparison

Compare areas of different shapes with equivalent "size" to better understand scale.

Detailed Formulas

See the exact formula used for each calculation with clear mathematical notation.

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