Basic

This web site builds the control from code behind but you could also grab it from the toolbox, this sample also uses a ViewModel to populate the properties of the control(s) in this sample.

sample image

View model

using System.Collections.ObjectModel;
using CommunityToolkit.Mvvm.ComponentModel;
using LiveChartsCore;
using LiveChartsCore.Measure;
using LiveChartsCore.SkiaSharpView;
using LiveChartsCore.SkiaSharpView.Painting;
using LiveChartsCore.SkiaSharpView.VisualElements;
using SkiaSharp;

namespace ViewModelsSamples.Polar.Basic;

public partial class ViewModel : ObservableObject
{
    public ISeries[] Series { get; set; } =
    {
        new PolarLineSeries<double>
        {
            Values = new ObservableCollection<double> { 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 },
            DataLabelsPaint = new SolidColorPaint(new SKColor(30, 30, 30)),
            GeometrySize = 15,
            DataLabelsSize = 8,
            DataLabelsPosition = PolarLabelsPosition.Middle,
            DataLabelsRotation = LiveCharts.CotangentAngle,
            IsClosed = true
        }
    };

    public PolarAxis[] RadialAxes { get; set; } =
    {
        new PolarAxis
        {
            LabelsAngle = -60,
            MaxLimit = 30 // null to let the chart autoscale (defualt is null) // mark
        }
    };

    public PolarAxis[] AngleAxes { get; set; } =
    {
        new PolarAxis
        {
            LabelsRotation = LiveCharts.TangentAngle
        }
    };

    public LabelVisual Title { get; set; } =
        new LabelVisual
        {
            Text = "My chart title",
            TextSize = 25,
            Padding = new LiveChartsCore.Drawing.Padding(15),
            Paint = new SolidColorPaint(SKColors.DarkSlateGray)
        };
}

Form code behind

using System.Windows.Forms;
using LiveChartsCore.SkiaSharpView.WinForms;
using ViewModelsSamples.Polar.Basic;

namespace WinFormsSample.Polar.Basic;

public partial class View : UserControl
{
    /// <summary>
    /// Initializes a new instance of the <see cref="View"/> class.
    /// </summary>
    public View()
    {
        InitializeComponent();
        Size = new System.Drawing.Size(50, 50);

        var viewModel = new ViewModel();

        var polarChart = new PolarChart
        {
            Series = viewModel.Series,
            AngleAxes = viewModel.AngleAxes,
            RadiusAxes = viewModel.RadialAxes,
            Title = viewModel.Title,

            // out of livecharts properties...
            Location = new System.Drawing.Point(0, 0),
            Size = new System.Drawing.Size(50, 50),
            Anchor = AnchorStyles.Left | AnchorStyles.Right | AnchorStyles.Top | AnchorStyles.Bottom
        };

        Controls.Add(polarChart);
    }
}

Articles you might also find useful:

Polar chart control
Polar series properties