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Area Calculator

Select shape, enter the required dimensions, click “Calculate”, and see the area along with a detailed step-by-step solution.

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This area calculator helps you find the area of a wide range of geometric shapes, including squares, rectangles, triangles, circles, trapezoids, and more. Each result displays the formula used, step-by-step calculations, and flexible unit options (cm, m, ft, in, etc.), making it ideal for students, engineers, and professionals working with geometry. It is designed to provide fast and accurate results while giving you a clear understanding of how each area is calculated.

How to Use the Area Calculator?

Follow these steps:

Step 1: Select Shape

Choose the geometric shape from the drop-down menu for which you want to find the area.

Step 2: Enter Dimensions & Choose Units

Input the dimensions of the selected shape (such as length, width, radius, or height) and choose the units for these measurements (mm, cm, m, ft, in, etc.).

Step 3: Click Calculate

Click on the Calculate button to get the area. The calculator will also show the step-by-step calculation and the formula used.

Supported Shapes & Formulas:

  • Square
  • Rectangle
  • Triangle
  • Circle
  • Semicircle
  • Sector
  • Ellipse
  • Trapezoid
  • Parallelogram
  • Rhombus
  • Kite
  • Regular Pentagon
  • Regular Hexagon
  • Annulus (Ring)
  • Irregular Quadrilateral
  • Regular Polygon

What Is The Area in Mathematics?

Area is the measurement of a space enclosed by a two-dimensional shape. It shows the actual size of the shape and indicates the surface it covers. For three-dimensional shapes, you can use our surface area calculator.

Unit of Area:

In the International System of Units (SI), the area is expressed in square meters (m²). Other units are also commonly used:

  • Small objects: square millimeters (mm²) or square centimeters (cm²)
  • Rooms, furniture, or indoor spaces: square meters (m²) or square feet (ft²)
  • Land plots, gardens, or large areas: square kilometers (km²)

Why Understanding Units Matters?

  • To define the scale of measurement correctly
  • To avoid confusion
  • To get accurate results
  • To maintain consistency

How To Find Area?

Square:

A square has equal length and width. Insert the values in the formula:

Square Area = a × a = a²

a = Length of the square side

Rectangle:

area of rectangle

The area of a rectangle can be calculated using the formula:

Area of a Rectangle = length × width = a × b

Triangle:

area of triangle

The formula depends on the parameters provided:

When Height and Base are Provided:

Triangle Area = (b × h) / 2

When Two Sides and Included Angle are Given (SAS):

Triangle Area = 1/2 × a × b × sin(γ)

When Three Sides are Given (Heron's Formula):

Area = √[s(s − a)(s − b)(s − c)]

where s = (a + b + c) / 2

If Two Angles and the Side Touching Them are Provided:

Triangle Area = a² × sin(β) × sin(γ) (2 × sin(β + γ))

Using these formulas, you can easily calculate the area of a triangle based on the information you have. If these formulas look difficult to remember, simply use our triangle area calculator. It supports all these formulas, allowing you to calculate the area of a triangle accurately and instantly.

Circle:

area of circle

This is one of the most common and widely used figures in geometry. You can calculate the area of a circle using the formula:

Circle Area = π × r²

If you are working with a circular shape and want to analyze its area and properties, then our circle area calculator is the perfect tool for you.

Semicircle:

area of semicircle

The formula to find the area of a semicircle is:

Area of a Semicircle = (π × r²) / 2

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