Area Calculator

Calculate area of various 2D shapes.

Shape Dimensions

5
4

Area Result

Area

20.00

square units

Shape

rectangle

Formula:

A = l × w = 5 × 4 = 20.00

About This Calculator

The Area Calculator helps you calculate the area of various 2D shapes including rectangles, squares, circles, triangles, parallelograms, trapezoids, and ellipses. Area is the amount of space inside a two-dimensional shape.

Simply select the shape you want to calculate, enter the required dimensions, and the calculator will automatically compute the area using the appropriate formula. All measurements should be in the same units, and the result will be in square units.

Formula & Calculation Method

Area Formulas:

Rectangle: A = l × w
Square: A = s²
Circle: A = πr²
Triangle: A = (1/2) × b × h
Parallelogram: A = b × h
Trapezoid: A = (1/2) × (a + b) × h
Ellipse: A = πab

Where A is area, l is length, w is width, s is side, r is radius, b is base, h is height, a and b are the semi-axes of an ellipse, and π (pi) is approximately 3.14159. All measurements should be in the same units.

How to Use This Calculator

  1. Select Shape: Choose the 2D shape you want to calculate.
  2. Enter Dimensions: Input the required measurements (length, width, radius, etc.).
  3. View Results: See the calculated area and the formula used.
  4. Units: Ensure all measurements are in the same units (e.g., all in cm or all in inches).

Frequently Asked Questions

What is area?

Area is the amount of space inside a two-dimensional shape. It is measured in square units such as square centimeters (cm²), square meters (m²), or square inches (in²).

How do I convert between area units?

To convert area units, you need to use conversion factors. For example: 1 m² = 10,000 cm², 1 ft² = 144 in². Multiply or divide by the appropriate conversion factor squared.

Can I calculate area for irregular shapes?

This calculator handles regular geometric shapes. For irregular shapes, you might need to break the shape into smaller regular shapes and sum their areas, or use other methods like integration for complex curves.

What is the difference between area and perimeter?

Area measures the space inside a shape (in square units), while perimeter measures the distance around the outside of a shape (in linear units). They measure different properties of a shape.

Expert Reviewed

This calculator was reviewed by NumCalculators Editorial Team, Multi-disciplinary Expert Team

Updated: 12/15/2024