# Complex.Magnitude Property

.NET Framework 4.5

Gets the magnitude (or absolute value) of a complex number.

Namespace:  System.Numerics
Assembly:  System.Numerics (in System.Numerics.dll)

## Syntax

```public double Magnitude { get; }
```

#### Property Value

Type: System.Double
The magnitude of the current instance.

## Remarks

The Magnitude property is equivalent to the absolute value of a complex number. It specifies the distance from the origin (the intersection of the x-axis and the y-axis in the Cartesian coordinate system) to the two-dimensional point represented by a complex number. The absolute value is calculated as follows:

| a + bi | = Math.Sqrt(a2 + b2)

If the calculation of the absolute value results in an overflow, this property returns either Double.PositiveInfinity or Double.NegativeInfinity.

The Magnitude and the Phase properties define the position of a point that represents a complex number in the polar coordinate system.

You can instantiate a complex number based on its polar coordinates instead of its Cartesian coordinates by calling the FromPolarCoordinates method.

## Examples

The following example calculates the absolute value of a complex number and demonstrates that it is equivalent to the value of the Magnitude property.

```using System;
using System.Numerics;

public class Example
{
public static void Main()
{
Complex complex1 = new Complex(2.0, 3.0);
Console.WriteLine("|{0}| = {1:N2}", complex1, Complex.Abs(complex1));
Console.WriteLine("Equal to Magnitude: {0}",
Complex.Abs(complex1).Equals(complex1.Magnitude));
}
}
// The example displays the following output:
//       |(2, 3)| = 3.60555127546399
//       Equal to Magnitude: True
```

## Version Information

#### .NET Framework

Supported in: 4.5.2, 4.5.1, 4.5, 4

Supported in: 4

#### Portable Class Library

Supported in: Portable Class Library

#### .NET for Windows Store apps

Supported in: Windows 8

#### .NET for Windows Phone apps

Supported in: Windows Phone 8.1

## Platforms

Windows Phone 8.1, Windows 8.1, Windows Server 2012 R2, Windows 8, Windows Server 2012, Windows 7, Windows Vista SP2, Windows Server 2008 (Server Core Role not supported), Windows Server 2008 R2 (Server Core Role supported with SP1 or later; Itanium not supported)

The .NET Framework does not support all versions of every platform. For a list of the supported versions, see .NET Framework System Requirements.