Use StackPanel to Hold RadioButtons
<UserControl x:Class='SilverlightApplication3.MainPage'
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'
mc:Ignorable='d'
d:DesignWidth='640'
d:DesignHeight='480'>
<Grid>
<Grid.ColumnDefinitions>
<ColumnDefinition Width="50*" />
<ColumnDefinition Width="50*" />
</Grid.ColumnDefinitions>
<StackPanel Grid.Column="0" Margin="2">
<RadioButton Margin="5">RadioButton</RadioButton>
<RadioButton Margin="5">RadioButton</RadioButton>
<RadioButton Margin="5">RadioButton</RadioButton>
<RadioButton Margin="5">RadioButton</RadioButton>
</StackPanel>
<StackPanel Grid.Column="1" Margin="2">
<RadioButton Margin="5">RadioButton</RadioButton>
<RadioButton Margin="5">RadioButton</RadioButton>
<RadioButton Margin="5">RadioButton</RadioButton>
<RadioButton Margin="5">RadioButton</RadioButton>
</StackPanel>
</Grid>
</UserControl>
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