Basic

This sample uses C# 13 preview features such as partial properties, it also uses features from the CommunityToolkit.Mvvm package, you can learn more about it here.

This web site wraps every sample using a UserControl instance, but LiveCharts controls can be used inside any container.

sample image

View model

using LiveChartsCore;

namespace ViewModelsSamples.Polar.Basic;

public class ViewModel
{
    public double[] Values { get; set; } =
        [15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1];

    public double CotangentAngle { get; set; } =
        LiveCharts.CotangentAngle;

    public double TangentAngle { get; set; } =
        LiveCharts.TangentAngle;
}

XAML

<UserControl
    x:Class="WinUISample.Polar.Basic.View"
    xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
    xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
    xmlns:d="http://schemas.microsoft.com/expression/blend/2008"
    xmlns:mc="http://schemas.openxmlformats.org/markup-compatibility/2006"
    xmlns:lvc="using:LiveChartsCore.SkiaSharpView.WinUI"
    xmlns:vms="using:ViewModelsSamples.Polar.Basic"
    xmlns:local="using:WinUISample.Polar.Basic"
    mc:Ignorable="d">

    <UserControl.DataContext>
        <vms:ViewModel/>
    </UserControl.DataContext>

    <lvc:PolarChart>
        <lvc:PolarChart.Title>
            <lvc:XamlDrawnLabelVisual
            Text="My chart title"
            Paint="{lvc:SolidColorPaint Color='#303030'}"
            TextSize="{lvc:Float Value='25'}"
            Padding="{lvc:Padding Value='15'}"/>
        </lvc:PolarChart.Title>
        <lvc:PolarChart.Series>
            <lvc:SeriesCollection>
                <lvc:XamlPolarLineSeries
                    Values="{Binding Values}"
                    ShowDataLabels="True"
                    GeometrySize="15"
                    DataLabelsSize="8"
                    DataLabelsPosition="Middle"
                    DataLabelsRotation="{Binding CotangentAngle}"
                    IsClosed="True"/>
            </lvc:SeriesCollection>
        </lvc:PolarChart.Series>
        <lvc:PolarChart.RadiusAxes>
            <lvc:PolarAxesCollection>
                <lvc:XamlPolarAxis
                    LabelsAngle="-60"
                    MaxLimit="30"/>
            </lvc:PolarAxesCollection>
        </lvc:PolarChart.RadiusAxes>
        <lvc:PolarChart.AngleAxes>
            <lvc:PolarAxesCollection>
                <lvc:XamlPolarAxis
                    LabelsRotation="{Binding TangentAngle}"/>
            </lvc:PolarAxesCollection>
        </lvc:PolarChart.AngleAxes>
    </lvc:PolarChart>
</UserControl>

Articles you might also find useful:

Polar chart control
Polar series properties