Magnitude Property

# Complex.Magnitude Property

.NET Framework (current version)

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(a * a + b * b)

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

Universal Windows Platform
Available since 4.5
.NET Framework
Available since 4.0
Portable Class Library
Supported in: portable .NET platforms
Silverlight
Available since 4.0
Windows Phone
Available since 8.1