Ekuation

Math

Calculate Area

How to Calculate the Area of Any Shape

Whether you need to find the area for a homework problem, home project, or professional measurement, this calculator walks you through the process step by step. Select your shape, enter the dimensions, and see the formula with your values substituted in.

A = l × w

Area Calculation Tips

Click to show tips

Try an Example

Pick a scenario to see how the calculator works, then adjust the values

Living Room Floor

Calculate the floor area of a 5m x 3m rectangular living room.

Key values: Rectangle · 5m x 3m · 15 m²

Circular Garden

Find the area of a circular garden bed with a 5-meter radius.

Key values: Circle · Radius: 5m · ≈78.54 m²

Triangular Plot (SSS)

Calculate the area of a triangular land plot with sides 3, 4, and 5 meters using Heron's formula.

Key values: Triangle (SSS) · Right triangle · 6 m²

Hexagonal Patio

Find the area of a regular hexagonal patio with 10m sides.

Key values: Regular Polygon · 6 sides · 10m per side

Documentation

This calculator is also known as Calculate Area.

Read the complete guide

What Is Area?

Area measures the amount of two-dimensional space a shape occupies. It is always expressed in square units (such as square meters, square feet, or square centimeters). Understanding area is fundamental to geometry and has countless practical applications.

Common Area Formulas

Reference table of the most-used area formulas:

CategoryValue
RectangleA = length x width
TriangleA = 1/2 x base x height
CircleA = pi x radius^2
TrapezoidA = 1/2 x (base1 + base2) x height
ParallelogramA = base x height

Examples

Rectangle Room

A bedroom measuring 4.2 m by 3.5 m.

A = 4.2 x 3.5 = 14.7 m squared. This equals about 158 square feet.

Key takeaway: For flooring purchases, add 10% for waste when ordering materials.

Tips for Accurate Area Calculations

Follow these best practices:

  • Always convert all measurements to the same unit before calculating
  • For parallelograms and trapezoids, use the perpendicular height, not the slant side
  • Double-check the radius vs. diameter when calculating circle area
  • For complex rooms, divide into rectangles and triangles, then add the areas

Frequently Asked Questions about Calculate Area

What units is area measured in?

Area is measured in square units. Common units include square meters (m squared), square feet (ft squared), square centimeters (cm squared), acres, and hectares. The unit depends on the context: rooms are often measured in square feet or square meters, while land is measured in acres or hectares.

How do I calculate the area of an irregular shape?

Break the irregular shape into simpler shapes (rectangles, triangles, etc.), calculate each area separately, and add them together. For more complex shapes, use the Shoelace formula with coordinate pairs.

What is the difference between area and perimeter?

Area measures the space inside a shape (in square units), while perimeter measures the total distance around the outside of a shape (in linear units). They are independent quantities -- shapes with the same perimeter can have very different areas.

Specialized Calculators

Choose from 8 specialized versions of this calculator, each optimized for specific use cases and calculation methods.

Shape

8 Calculators
Rectangle
Rectangle Area Calculator | Length x Width with Steps
Calculate the area of a rectangle from length and width with step-by-step formula display and unit conversions.
Try This Calculator
Triangle
Triangle Area Calculator | Base-Height, Heron\'s, SAS
Calculate triangle area using base and height, three sides (Heron\'s formula), or two sides and an included angle (SAS).
Try This Calculator
Circle
Circle Area Calculator | From Radius with Formula
Calculate the area of a circle from its radius with the pi-r-squared formula, step-by-step solution, and unit conversions.
Try This Calculator
Trapezoid
Trapezoid Area Calculator (Trapezium) | Parallel Sides + Height
Calculate the area of a trapezoid (trapezium) from the two parallel sides and the perpendicular height.
Try This Calculator
Parallelogram
Parallelogram Area Calculator | Base x Perpendicular Height
Calculate the area of a parallelogram from its base and perpendicular height. Includes a reminder to use perpendicular height, not the slant side.
Try This Calculator
Ellipse
Ellipse Area Calculator | Semi-Major and Semi-Minor Axes
Calculate the area of an ellipse from its semi-major and semi-minor axes using the formula A = pi a b.
Try This Calculator
Regular Polygon
Regular Polygon Area Calculator | Pentagon, Hexagon, Octagon
Calculate the area of any regular polygon from the number of sides and side length. Supports triangles, squares, pentagons, hexagons, octagons, and more.
Try This Calculator
Rhombus
Rhombus Area Calculator | From Diagonals
Calculate the area of a rhombus from its two diagonals using the formula A = 1/2 d1 d2.
Try This Calculator

Related Calculators

6 Calculators

More Math calculators

Calculator Search

Search and find calculators