SVG marker - can I set length and angle?

Question

I'm trying to draw 6 sticks starting from the centre of the circle with an angle (60 degrees)

What's in the picture is achieved by setting up coordinates manually. Would it be possible to use angle and length to draw these 6 sticks? If necessary, I'm willing to use a library.

<defs>
  <marker id="markerCircle" markerwidth="13" markerheight="13" refx="5" refy="7" orient="auto">
  <circle cx="7" cy="7" r="3" style="stroke: none; fill:#ef4b22;" />
  </marker>
</defs>

        <path d="M150,5 L150,55"
              style="stroke: #ef4b22; stroke-width: 2px; fill: none;
               marker-start: url(#markerCircle);" />
        <path d="M25,60 L75,95"
              style="stroke: #ef4b22; stroke-width: 2px; fill: none;
               marker-start: url(#markerCircle);" />
        <path d="M20,225 L68,200"
              style="stroke: #ef4b22; stroke-width: 2px; fill: none;
               marker-start: url(#markerCircle);" />
        <path d="M275,60 L225,95"
              style="stroke: #ef4b22; stroke-width: 2px; fill: none;
               marker-start: url(#markerCircle);" />
        <path d="M280,225 L220,200"
              style="stroke: #ef4b22; stroke-width: 2px; fill: none;
               marker-start: url(#markerCircle);" />
        <path d="M150,300 L150,250"
              style="stroke: #ef4b22; stroke-width: 2px; fill: none;
               marker-start: url(#markerCircle);" />

Answer 1

Here's a demo I made for you.

The main function used is to find a point on a circle, as below:

function findPoint(cx, cy, rad, cornerGrad){
  var cornerRad = cornerGrad * Math.PI / 180;
  var nx = Math.cos(cornerRad)*rad + cx;
  var ny = Math.sin(cornerRad)*rad + cy;
  return { x: nx, y: ny };
}