SVG Icon Path Class in CSS

I'm embedding the following SVG icon as a path in my HTML page:

<svg xmlns="http://www.w3.org/2000/svg" width="10" height="10" viewBox="0 0 16 16">
<path fill-rule="evenodd" d="M4.646 1.646a.5.5 0 0 1 .708 0l6 6a.5.5 0 0 1 0 .708l-6 6a.5.5 0 0 1-.708-.708L10.293 8 4.646 2.354a.5.5 0 0 1 0-.708z"/></svg>

How can I include the above SVG icon path as a class in CSS? So I can just use it as an attribute in my HTML page like this:

<i class="chevron-right"></i>

Update: With respect to the accepted answer, I had some problems getting the icon to vertically center properly and ended up finding a much simpler CSS code:

.chevron-right {
    vertical-align: middle;
    content: url("data:image/svg+xml, %3csvg xmlns='http://www.w3.org/2000/svg' width='16' height='16' viewBox='0 0 16 16'%3e%3cpath fill-rule='evenodd' d='M4.646 1.646a.5.5 0 0 1 .708 0l6 6a.5.5 0 0 1 0 .708l-6 6a.5.5 0 0 1-.708-.708L10.293 8 4.646 2.354a.5.5 0 0 1 0-.708z'/%3e%3c/svg%3e");
}

Solution

Use it as background:

.chevron-right {
  display: inline-block;
  width: 1rem;
  aspect-ratio: 1;
  background: url('data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" width="10" height="10" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M4.646 1.646a.5.5 0 0 1 .708 0l6 6a.5.5 0 0 1 0 .708l-6 6a.5.5 0 0 1-.708-.708L10.293 8 4.646 2.354a.5.5 0 0 1 0-.708z"/></svg>') 0 0/contain no-repeat;
}

<i class="chevron-right"></i>
<i class="chevron-right" style="width:2rem"></i>
<i class="chevron-right" style="width:4rem"></i>

In case you want coloration consider mask:

.chevron-right {
  display: inline-block;
  width: 1rem;
  aspect-ratio: 1;
  -webkit-mask: url('data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" width="10" height="10" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M4.646 1.646a.5.5 0 0 1 .708 0l6 6a.5.5 0 0 1 0 .708l-6 6a.5.5 0 0 1-.708-.708L10.293 8 4.646 2.354a.5.5 0 0 1 0-.708z"/></svg>') 0 0/contain;
  background: currentColor;
}

<i class="chevron-right"></i>
<i class="chevron-right" style="width:2rem;color:red;"></i>
<i class="chevron-right" style="width:4rem;color:blue;"></i>