# Arc length challenge

### Problem

Let L denote the length of the arc of the circle x, start superscript, 2, end superscript, plus, y, start superscript, 2, end superscript, equals, 16 from the point left parenthesis, 0, comma, 4, right parenthesis to the point left parenthesis, 3, comma, square root of, 7, end square root, right parenthesis.
Which one of these integrals represents the value of L?