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html - Make a perfect circle around a div of variable height

I've looked into this a fair bit but can't seem to find a good, solid answer to find how to make a responsive circle around a div element of variable height.

It's easy to make a simple responsive circle using vw units.

<div style="height:20vw; width:20vw"></div>

However, I'm looking to use a min-height of an element and have a circle around this div.

Another way to create a responsive circle is using something like the snippet below, but again I can't adapt this to work for a variable height (again, I can't use vh units as the div will change in height.

.square {
  position: relative;
  width: 10%;
  background: gray;
  border-radius: 50%;
}

.square:after {
  content: "";
  display: block;
  padding-bottom: 100%;
}

.content {
  position: absolute;
  width: 100%;
  height: 100%;
}
<div class="square">
  <div class="content">

  </div>
</div>
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Clip-path can easily do this if you consider solid coloration.

Resize the element and the circle will follow:

.box {
  width: 200px;
  height: 200px;
  overflow: hidden;
  resize: both;
  background: blue;
  box-shadow: 0 0 0 200vmax red;
  clip-path: circle(71%);
  margin: 100px auto;
}
<div class="box"></div>

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