using System;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Input;

namespace PanelExamples
{
    public class WheelPanel : Panel
    {
        protected override void OnMouseWheel(MouseWheelEventArgs e)
        {
            if (HasAnimatedProperties)
            {
                double oldValue = Offset;
                BeginAnimation(OffsetProperty, null);
                Offset = oldValue;
            }
            Offset += 3.0 / e.Delta;
            base.OnMouseWheel(e);
        }

        public double Radius
        {
            get { return (double)GetValue(RadiusProperty); }
            set { SetValue(RadiusProperty, value); }
        }
        public static readonly DependencyProperty RadiusProperty =
            DependencyProperty.Register("Radius", typeof(double), typeof(WheelPanel), new FrameworkPropertyMetadata(100.0, FrameworkPropertyMetadataOptions.AffectsArrange));

        public double Offset
        {
            get { return (double)GetValue(OffsetProperty); }
            set { SetValue(OffsetProperty, value); }
        }
        public static readonly DependencyProperty OffsetProperty =
            DependencyProperty.Register("Offset", typeof(double), typeof(WheelPanel), new FrameworkPropertyMetadata(0.0, FrameworkPropertyMetadataOptions.AffectsArrange));

        protected override Size MeasureOverride(Size availableSize)
        {
            foreach (UIElement child in Children)
            {
                child.Measure(availableSize);
            }
            var resultSize = base.MeasureOverride(availableSize);
            return availableSize;
        }

        protected override Size ArrangeOverride(Size finalSize)
        {
            double centerX = finalSize.Width / 2.0;
            double centerY = finalSize.Height / 2.0;
            double step = Math.PI * 2 / Children.Count;
            double current = Offset;
            foreach (UIElement child in Children)
            {
                var x = Math.Cos(current) * Radius;
                var y = Math.Sin(current) * Radius;
                current += step;
                var size = child.DesiredSize;
                var pos = new Point(centerX + x - size.Width / 2.0, centerY + y - size.Height / 2.0);
                child.Arrange(new Rect(pos, size));
            }

            return base.ArrangeOverride(finalSize);
        }
    }
}

<Window x:Class="PanelExamples.MainWindow"
        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:local="clr-namespace:PanelExamples"
        xmlns:sys="clr-namespace:System;assembly=mscorlib"
        mc:Ignorable="d"
        Title="MainWindow" Height="450" Width="800">
    <Grid>
        <ItemsControl>
            <ItemsControl.ItemsSource>
                <CompositeCollection>
                    <sys:String>Item 1</sys:String>
                    <sys:String>Item 2</sys:String>
                    <sys:String>Item 3</sys:String>
                    <sys:String>Item 4</sys:String>
                    <sys:String>Item 5</sys:String>
                    <sys:String>Item 6</sys:String>
                    <sys:String>Item 7</sys:String>
                    <sys:String>Item 8</sys:String>
                </CompositeCollection>
            </ItemsControl.ItemsSource>
            <ItemsControl.ItemsPanel>
                <ItemsPanelTemplate>
                    <local:WheelPanel Background="Transparent" Radius="120">
                        <local:WheelPanel.Triggers>
                            <EventTrigger RoutedEvent="Loaded">
                                <EventTrigger.Actions>
                                    <BeginStoryboard>
                                        <Storyboard>
                                            <DoubleAnimation Storyboard.TargetProperty="Offset" RepeatBehavior="Forever" From="0.0" To="6.2820" Duration="0:0:8"/>
                                        </Storyboard>
                                    </BeginStoryboard>
                                </EventTrigger.Actions>
                            </EventTrigger>
                        </local:WheelPanel.Triggers>
                    </local:WheelPanel>
                    
                </ItemsPanelTemplate>
            </ItemsControl.ItemsPanel>
            <ItemsControl.ItemTemplate>
                <DataTemplate DataType="{x:Type sys:String}">
                    <Button>
                        <Button.Template>
                            <ControlTemplate TargetType="{x:Type Button}">
                                <Grid>
                                    <Ellipse x:Name="PART_Filler" Fill="{TemplateBinding Background}" Width="75" Height="75" />
                                    <TextBlock Text="{Binding}" HorizontalAlignment="Center" VerticalAlignment="Center"/>
                                </Grid>
                                <ControlTemplate.Triggers>
                                    <Trigger Property="IsMouseOver" Value="True">
                                        <Setter TargetName="PART_Filler" Property="Fill" Value="LightBlue"/>
                                    </Trigger>
                                             
                                </ControlTemplate.Triggers>
                            </ControlTemplate>
                        </Button.Template>
                    </Button>
                </DataTemplate>
            </ItemsControl.ItemTemplate>
        </ItemsControl>
    </Grid>
</Window>