I'm struggling with the following question for long. I tried to apply isoperimetric inequality 4 π A ≤ L 2 , but my attempt has been unsuccessful. Could anyone give me a hint?Let A B be a segment of straight line and let l &gt; length of A B. Show that the curve C joining A and B, with length l, and such that together with A B bounds the largest possible area is an arc of a circle passing through A and B.

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I&#039;m struggling with the following question for long. I tried to apply isoperimetric inequality   4  π  A  ≤      L    2  , but my attempt has been unsuccessful. Could anyone give me a hint?Let   A  B be a segment of straight line and let   l  &amp;gt; length of   A  B. Show that the curve   C joining   A and   B, with length   l, and such that together with   A  B bounds the largest possible area is an arc of a circle passing through   A and   B.

Pranav Greer · Accepted Answer

Approximate the curve with a sequence of connected straight line segments. Combine this with the straight line segment AB to form a polygon. Now use the theorem that the polygon with maximum area, given the sides, can be circumscribed by a circle.

I'm struggling with the following question for long. I tried to apply isoperimetric inequality 4

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