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January 28, 2015

January 28, 2015

Posted by **Sara** on Tuesday, January 10, 2012 at 11:19pm.

- Math -
**Reiny**, Tuesday, January 10, 2012 at 11:39pmThe circle is the most efficient shape for a maximum area given some perimeter.

Here is why:

if circumf = 100

2πr = 100

r = 100/(2π) = 15.915

area = πr^2 = π(15.915)^2 = 795.77

if you had a square:

each side = 25

Area = 25x25 = 625 which is quite a bit less than the circle

Any other shape, e.g. an equilateral triangle, is less than the area of a circle.

- Math -
**Alicia**, Tuesday, January 10, 2012 at 11:56pmCircle it has a larger area by 3 more

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