Free Online Calculator

Area Calculator

Find the area of 11 common 2-D shapes.

Last updated: Free, no sign-up Private — runs in your browser

Quick answer: area of a circle

A = π r². A circle with radius 7 cm has an area of 153.938040026 cm².

Overview of the Area Calculator

Area is the amount of flat surface inside a shape. Pick a rectangle, square, triangle, circle, ellipse, parallelogram, trapezoid, rhombus, circle sector, ring or regular polygon, enter its measurements and the calculator returns the area with the formula and conversions to square metres, feet, inches, hectares and acres.

For 3-D shapes use the Volume Calculator and Surface Area Calculator; for triangles from sides and angles see the Triangle Calculator. Property areas are in the Square Footage Calculator.

How We Calculate

The calculator applies the standard method step by step.

  1. Select the shape and your unit of length.
  2. Enter the required measurements (all in the same unit).
  3. Apply the shape's area formula (see the table).
  4. Area is in square units; the calculator converts to m², ft², in², hectares and acres.
circle A = π r²   triangle A = ½ b h   trapezoid A = ½ (a + b) h
Worked example — area calculator
ItemValue
Formulaπ r²
In cm²153.938040026
Square meters (m²)0.015393804
Square centimeters (cm²)153.938040026
Square feet (ft²)0.1656975273
Square inches (in²)23.8604439249
Hectares1.5394e-6
Acres3.8039e-6
Area in cm²
ShapeArea
Circle r7153.938040026 cm²
Rectangle 5×315 cm²
Triangle b6 h412 cm²
Trapezoid 3,5,h416 cm²
Hexagon side 210.3923048454 cm²
Area formulas
ShapeFormula
Rectanglel × w
Squarea²
Triangle½ b h
Circleπ r²
Ellipseπ a b
Parallelogramb h
Trapezoid½ (a + b) h
Rhombus / kite½ d₁ d₂
Sectorθ⁄360 × π r²
Ringπ (R² − r²)
Regular polygonn s² ÷ (4 tan(π/n))

Area Calculator — Frequently Asked Questions

How do I calculate the area of a circle?

A = π × r². With r = 7, A = π × 49 ≈ 153.94.

How do I find the area of a triangle?

Half the base times the height: A = ½ × b × h.

What is the area of a trapezoid?

The average of the two parallel sides times the height: A = ½ × (a + b) × h.

How do I find the area of a regular polygon?

A = n × s² ÷ (4 × tan(π ÷ n)), where n is the number of sides and s the side length.

How many square feet are in a square metre?

1 m² = 10.7639 ft².

What is the difference between area and perimeter?

Area measures the surface inside a shape (square units); perimeter measures the distance around it (linear units).

How is the area calculator calculated?

It uses the standard method: circle A = π r²   triangle A = ½ b h   trapezoid A = ½ (a + b) h The full working and a worked example are shown on this page.

How accurate is this calculator?

Decimal results use standard double-precision arithmetic (about 15–16 significant digits). Tools that work with whole numbers — big numbers, factors, bases, combinations — use exact integer arithmetic, so no digits are lost.

Can I use it for homework or exams?

Yes for checking your work and learning the method. The steps and formula are shown so you can understand the answer, but follow your teacher's rules about calculators in exams.

Is my data stored?

No. Everything is calculated in your browser and nothing you enter is uploaded or saved.

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