OBJECTIVE LIFE SCIENCE
ECOLOGY
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Which patch shape has the lowest possible ratio of edge to area?
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circle
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square
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triangle
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hexagon
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all patch shapes have the same ratio of edge to area
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Explanation:
Detailed explanation-1: -For a given volume, the object with the smallest surface area (and therefore with the smallest SA:V) is a ball, a consequence of the isoperimetric inequality in 3 dimensions.
Detailed explanation-2: -Relation of area to perimeter Thus a circle has the largest area of any closed figure with a given perimeter.
Detailed explanation-3: -Among all shapes with the same area, a circle has the shortest perimeter.
There is 1 question to complete.