SOLUTION: A circle and a square has a same area.If c denotes circumference of circle and p denotes the perimeter of square,then
(A)p>c
(B)p=c
(C)p<c
(D)p=2c
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Question 1076543: A circle and a square has a same area.If c denotes circumference of circle and p denotes the perimeter of square,then
(A)p>c
(B)p=c
(C)p
(D)p=2c
Found 2 solutions by Alan3354, math_helper:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
p>C
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
For the square:
perimeter=p=4s
area =
For the circle:
circumference = c =
area =
The areas are equal (given):
Taking sqrt of both sides:
Now p can be expressed in terms of r:
Since and ,
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