Finding the arc length under a half period of sine

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In this video, Professor Gonzalinajec demonstrates that while finding the area under a curve may be easy, finding the length of the arc is not.
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The shape of the arc can be approximated by two triangles with base = pi/2 and height = 1.
Then the length of the two hypotenuses is 3.7242 = approximately the arc length of 3.8202.

jacobvandijk