%div.selector
  %ul
    - (1..8).each do |i|
      %li
        %input{:id => i, :type => "checkbox"}
        %label{:for => i} Option #{i}
  %button Click here
View Compiled
@import url(https://fonts.googleapis.com/css?family=Oswald:400,300,700);

$angleStart: -360deg;
$buttonSize: 140px;
$optionSize: 80px;
$spacing: 20px;
$speed: .8s;

html, body {
    height: 100%;
}
body {
    margin: 0;
    background: linear-gradient(#eee, #ccc);
    overflow: hidden;
}

.selector {
    position: absolute;
    left:50%; top:50%;
    width:$buttonSize; height:$buttonSize;
    margin-top: -$buttonSize/2;
    margin-left: -$buttonSize/2;
}

.selector, .selector button {
    font-family: 'Oswald', sans-serif;
    font-weight: 300;
}

.selector button {
    position: relative;
    width:100%; height:100%;
    padding: 10px;
    background: #428bca;
    border-radius: 50%;
    border: 0;
    color: white;
    font-size: 20px;
    cursor: pointer;
    box-shadow: 0 3px 3px rgba(0,0,0,.1);
    transition: all .1s;
}
.selector button:hover {
    background: #3071a9;
}
.selector button:focus {
    outline: none;
}

.selector ul {
    position: absolute;
    list-style: none;
    padding:0; margin:0;
    top:-$spacing; right:-$spacing; bottom:-$spacing; left:-$spacing;
}

.selector li {
    position: absolute;
    width:0; height: 100%;
    margin: 0 50%;
    -webkit-transform: rotate($angleStart);
    transition: all $speed ease-in-out;
}

.selector li input {
    display: none;
}

.selector li input + label {
    position: absolute;
    left:50%; bottom:100%;
    width:0; height:0;
    line-height: 1px;
    margin-left: 0;
    background: #fff;
    border-radius: 50%;
    text-align: center;
    font-size: 1px;
    overflow: hidden;
    cursor: pointer;
    box-shadow: none;
    transition: all $speed ease-in-out, color .1s, background .1s;
}
.selector li input + label:hover {
    background: #f0f0f0;
}
.selector li input:checked + label {
    background: #5cb85c;
    color: white;
}
.selector li input:checked + label:hover {
    background: #449d44;
}
.selector.open li input + label {
    width:$optionSize; height:$optionSize;
    line-height: $optionSize;
    margin-left: -($optionSize/2);
    box-shadow: 0 3px 3px rgba(0,0,0,.1);
    font-size: 14px;
}
View Compiled
var angleStart = -360;

// jquery rotate animation
function rotate(li,d) {
    $({d:angleStart}).animate({d:d}, {
        step: function(now) {
            $(li)
               .css({ transform: 'rotate('+now+'deg)' })
               .find('label')
                  .css({ transform: 'rotate('+(-now)+'deg)' });
        }, duration: 0
    });
}

// show / hide the options
function toggleOptions(s) {
    $(s).toggleClass('open');
    var li = $(s).find('li');
    var deg = $(s).hasClass('half') ? 180/(li.length-1) : 360/li.length;
    for(var i=0; i<li.length; i++) {
        var d = $(s).hasClass('half') ? (i*deg)-90 : i*deg;
        $(s).hasClass('open') ? rotate(li[i],d) : rotate(li[i],angleStart);
    }
}

$('.selector button').click(function(e) {
    toggleOptions($(this).parent());
});

setTimeout(function() { toggleOptions('.selector'); }, 100);

External CSS

This Pen doesn't use any external CSS resources.

External JavaScript

  1. https://cdnjs.cloudflare.com/ajax/libs/jquery/2.1.3/jquery.min.js