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circle and square

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Why does the circle have a larger area? 2019-09-16
From A student:
given a circle and square of same perimeter, why does the circle have a larger area

I’m looking for an intuitive explanation rather than a computational one. Thanks

Answered by Harley Weston.
The area of a circle and a square 2016-04-10
From Richard:
I cannot understand why if you have a perimeter say of 4 units as the circumference of a circle then you reshape it into a square you lose very approximately some 20% of its volume but the perimeter length stays the same.
Can you please explain this to me as to why the volume decreases.

Answered by Penny Nom.
 
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