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Area Calculator Calculate area and perimeter for 8 shapes — rectangle, circle, triangle, trapezoid, and more.

Area Calculator illustration
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Area Calculator

Calculate area and perimeter for 8 shapes — rectangle, circle, triangle, trapezoid, and more.

1

Select Shape

Choose from 8 geometric shapes.

2

Enter Dimensions

Input the required measurements for your chosen shape.

3

View Results

See the calculated area, perimeter (where applicable), and formula.

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What Is Area Calculator?

A Area Calculator is a geometry calculator that computes the area and perimeter of various geometric shapes, serving as a useful tool for students, engineers, and architects who need to calculate circle area or triangle area. It solves the specific problem of quickly determining the area of complex shapes like trapezoids and ellipses, which can be time-consuming to calculate manually. The tool allows users to select from eight common shapes, including rectangle, circle, triangle, and rhombus, and choose their preferred unit of measurement from options like mm, cm, m, km, inches, feet, yards, and miles.

It stands out from other shape calculators due to its ability to handle a wide variety of geometric shapes and units, making it a versatile geometry calculator. For instance, when calculating the area of a circle, it uses the formula A = π × r², while for a triangle, it uses A = ½ × base × height. The tool also displays the perimeter of shapes where applicable, providing additional useful information. By referencing the formula used in each calculation, users can understand the underlying geometry and double-check their results.

The calculator's user-friendly interface allows users to easily input dimensions and switch between units, making it a convenient shape calculator for everyday use. Whether calculating the area of a rectangle or the perimeter of a parallelogram, it provides accurate and reliable results, making it an essential tool for anyone working with geometric shapes.

Why Use Area Calculator?

  • Eight shapes: rectangle, circle, triangle, trapezoid, ellipse, parallelogram, rhombus, sector
  • Shows both area and perimeter where applicable
  • Multiple unit options (metric and imperial)
  • Displays the formula used for each shape

Common Use Cases

Real Estate

Calculate floor areas, lot sizes, and room dimensions.

Construction

Determine material quantities from area calculations.

Education

Solve geometry problems and verify manual calculations.

Landscaping

Calculate garden beds, lawn areas, and planting zones.

Technical Guide

Area formulas by shape: Rectangle: A = l × w, P = 2(l+w). Circle: A = πr², P = 2πr. Triangle: A = ½bh. Trapezoid: A = ½(a+b)h. Ellipse: A = πab. Parallelogram: A = bh. Rhombus: A = ½d₁d₂. Circular Sector: A = ½r²θ (θ in radians). For the sector calculator, the angle input is in degrees and converted internally: θ_rad = θ_deg × π/180. Perimeter is computed where a simple formula exists. All area results are in square units of the selected unit; perimeter in linear units.

Tips & Best Practices

  • 1
    For irregular shapes, try breaking them into combinations of these basic shapes
  • 2
    Area in square units: if inputs are in meters, output is in square meters (m²)
  • 3
    A circle has the maximum area for a given perimeter among all 2D shapes
  • 4
    For triangles, you need base AND height — the height must be perpendicular to the base

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Frequently Asked Questions

Q How do I calculate the area of an irregular shape?
Break it into basic shapes (rectangles, triangles), calculate each area separately, and add them together. This is called the decomposition method.
Q What is the difference between area and perimeter?
Area measures the surface enclosed by the shape (in square units). Perimeter measures the total length of the boundary (in linear units).
Q What is the area of a triangle if I know all three sides?
Use Heron's formula: A = √(s(s-a)(s-b)(s-c)) where s = (a+b+c)/2. This calculator uses the base × height formula.
Q How do I find the radius from circumference?
r = Circumference / (2π). Then area = πr².
Q What units should I use?
Use any consistent unit. The area will be in the square of that unit (e.g., meters → square meters). Don't mix units in the same calculation.

About This Tool

Area Calculator is a free online tool by FreeToolkit.ai. All processing happens directly in your browser — your data never leaves your device. No registration or installation required.