title: Algorithm to find an arc, its center, radius and angles given 3 points
body: <p>Given 3 points A, B and C</p>
  
  <p><img src="https://i.stack.imgur.com/U5Buo.png" alt="enter image description here"></p>
  
  <p>How can I find and arc that begins at A, ends at C and pass through B; its center's coordinates, radius and angles for r and r' ?</p>
  
  <p><img src="https://i.stack.imgur.com/n1mFI.png" alt="enter image description here"></p>