You are to build a fence using two straight pieces and a piece that is a half a circle. The straight pieces should have equal length, and the centre of
the circle should be the point where the two straight pieces meet, but you
get to choose the angle between those straight pieces. The total amount
of fencing you can use is 10 meters. What dimensions will maximize the
area enclosed?

The shape looks like an ice cream come. I think I need to find the derivative of the area to maximize it. Can anyone help?

Question

You are to build a fence using two straight pieces and a piece that is a half a circle. The straight pieces should have equal length, and the centre of
the circle should be the point where the two straight pieces meet, but you
get to choose the angle between those straight pieces. The total amount
of fencing you can use is 10 meters. What dimensions will maximize the
area enclosed?

The shape looks like an ice cream come. I think I need to find the derivative of the area to maximize it. Can anyone help?

anonymous · Answer

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