Which Radio button in the group is checked?

Question

You could use LINQ:

var checkedButton = container.Controls.OfType<RadioButton>()
                                      .FirstOrDefault(r => r.Checked);

Note that this requires that all of the radio buttons be directly in the same container (eg, Panel or Form), and that there is only one group in the container. If that is not the case, you could make List<RadioButton>s in your constructor for each group, then write list.FirstOrDefault(r => r.Checked).

You can wire the CheckedEvents of all the buttons against one handler. There you can easily get the correct Checkbox.

// Wire all events into this.
private void AllCheckBoxes_CheckedChanged(Object sender, EventArgs e) {
    // Check of the raiser of the event is a checked Checkbox.
    // Of course we also need to to cast it first.
    if (((RadioButton)sender).Checked) {
        // This is the correct control.
        RadioButton rb = (RadioButton)sender;
    }
}

For those without LINQ:

RadioButton GetCheckedRadio(Control container)
{
    foreach (var control in container.Controls)
    {
        RadioButton radio = control as RadioButton;

        if (radio != null && radio.Checked)
        {
            return radio;
        }
    }

    return null;
}

The OP wanted to get the checked RadioButton BY GROUP. While @SLaks' answer is excellent, it doesn't really answer the OP's main question. To improve on @SLaks' answer, just take the LINQ one step further.

Here's an example from my own working code. Per normal WPF, my RadioButtons are contained in a Grid (named "myGrid") with a bunch of other types of controls. I have two different RadioButton groups in the Grid.

To get the checked RadioButton from a particular group:

List<RadioButton> radioButtons = myGrid.Children.OfType<RadioButton>().ToList();
RadioButton rbTarget = radioButtons
      .Where(r => r.GroupName == "GroupName" && r.IsChecked)
      .Single();

If your code has the possibility of no RadioButtons being checked, then use SingleOrDefault() (If I'm not using tri-state buttons, then I always set one button "IsChecked" as a default selection.)

You can use the CheckedChanged event for all your RadioButtons. Sender will be the unchecked and checked RadioButtons.