Arc Corners II

<!DOCTYPE html>
<meta charset="utf-8">
<style>

.paths--straight {
  fill: none;
  stroke: #777;
}

.paths--round {
  fill: #ccc;
  stroke: #000;
  stroke-width: 1.5px;
  stroke-linejoin: round;
}

</style>
<body>
<script src="//d3js.org/d3.v3.min.js"></script>
<script>

var data = [1, 1, 2, 3, 5, 8, 13, 21];

var width = 960,
    height = 500,
    outerRadius = height / 2 - 30,
    cornerRadius = 20;

var pie = d3.layout.pie();

var arc = d3.svg.arc()
    .outerRadius(outerRadius);

var svg = d3.select("body").append("svg")
    .attr("width", width)
    .attr("height", height)
  .append("g")
    .attr("transform", "translate(" + width / 2 + "," + height / 2 + ")");

var straightPath = svg.append("g")
    .attr("class", "paths--straight")
  .selectAll("path")
    .data(data)
  .enter().append("path");

var roundPath = svg.append("g")
    .attr("class", "paths--round")
  .selectAll("path")
    .data(data)
  .enter().append("path");

var ease = d3.ease("cubic-in-out"),
    duration = 2500;

d3.timer(function(elapsed) {
  var t = ease(1 - Math.abs((elapsed % duration) / duration - .5) * 2),
      arcs = pie.padAngle(t * .1)(data);

arc.innerRadius(outerRadius / (3 - t));
  straightPath.data(arcs).attr("d", arc.cornerRadius(0));
  roundPath.data(arcs).attr("d", arc.cornerRadius(cornerRadius));
});

</script>

https://d3js.org/d3.v3.min.js