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Area Calculator

Area of a square, rectangle, circle, triangle, trapezoid, parallelogram or ellipse.

Quick answer

  • Formula: Square a² · Rectangle a×b · Circle πr² · Triangle a×b÷2 · Trapezoid (a+b)÷2×h · Parallelogram a×b · Ellipse πab
  • Worked example — Area: 30.0000 (full example below).

Area Calculator

Worked example result
Area30.0000
Shape calculatedtriangle

A triangle with base 10 and height 6 has an area of (10 × 6) ÷ 2 = 30 square units — exactly half of the 10-by-6 rectangle around it.

Diagram: how the Area Calculator works — you enter Shape, Dimension A — side / length / radius / base / semi-axis a, Dimension B — width / height / second base / semi-axis b, Dimension C — height (trapezoid only); it applies the formula Square a² · Rectangle a×b · Circle πr² · Triangle a×b÷2 · Trapezoid…; and the worked example gives Area
How the Area Calculator works — the inputs, the formula, and a worked example (Area: 30.0000).

Area measures the surface a two-dimensional shape covers, in square units. Each shape has its own formula, but most of them reduce to some version of base times height — the circle and ellipse being the famous exceptions that bring in π.

Pick a shape and enter its dimensions: A is the side (square), length (rectangle), radius (circle), base (triangle and parallelogram) or first base (trapezoid) and first semi-axis (ellipse); B is the width, height or second measurement the shape needs; C is used only by the trapezoid, as its height.

The formula

Square a² · Rectangle a×b · Circle πr² · Triangle a×b÷2 · Trapezoid (a+b)÷2×h · Parallelogram a×b · Ellipse πab

Worked example

A triangle with base 10 and height 6 has an area of (10 × 6) ÷ 2 = 30 square units — exactly half of the 10-by-6 rectangle around it.

Worked example for the Area Calculator: with Shape Triangle, Dimension A — side / length / radius / base / semi-axis a 10, Dimension B — width / height / second base / semi-axis b 6, the result is Area: 30.0000; Shape calculated: triangle.
The worked example, with the example values entered and the results they give.

The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.

Frequently asked questions

Why is a triangle's area half of base × height?

Because any triangle is exactly half of a parallelogram with the same base and height — draw a diagonal across a rectangle and the two triangles are identical, each covering half the area.

What units should the answer be in?

Whatever units you entered, squared. Dimensions in metres give square metres; in feet, square feet. Keep all dimensions in the same unit before calculating.

How do I get the area of an irregular shape?

Split it into rectangles, triangles and circles, calculate each part here, and add them up (subtracting any holes). Surveyors and flooring estimators use exactly this method.

Category: Math calculators

Sources & methodology

This calculator applies the formula shown on this page exactly as written, using the standard definitions for its inputs. Results are computed from the values you enter — no data is stored — and are rounded only for display.

Content last reviewed by CalcHub Editorial.

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