Drawing Polygon of maximum area?

Kevin W

New member
have been given 4 side lengths- 9, 10, 11 and 12 cm.
Is there a way to calculate the maximum are bound by these dimensions?
I must create a polygon with the maximum area, inscribed in a circle. Are the two the same (ie. does a polygon with given side lengths have maximum area when each vertex touches a point in a circle)?
Is there a program I can use to help me with this? The shape must be drawn within an accuracy of one-tenth of a millimeter.
Thanks in advance!
 
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