SOLUTION: the cirlce with a radius 14 is inscribed in a square. how would you compare the area of the square to the area of the circle? Use pi=22/7

Algebra ->  Circles -> SOLUTION: the cirlce with a radius 14 is inscribed in a square. how would you compare the area of the square to the area of the circle? Use pi=22/7      Log On


   

Question 316655: the cirlce with a radius 14 is inscribed in a square. how would you compare the area of the square to the area of the circle? Use pi=22/7
Found 3 solutions by Fombitz, JBarnum, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

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R=s%2F2
S=2R=28
For the circle,
A=pi%2AR%5E2=%2822%2F7%29%2814%29%5E2=616
For the square,
A=%2828%29%5E2=784

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
if radius is 14, and the radius is exactly 1/2 of the length of one side of the square, then the squares dimensions are (d^2)= 28*28=784
the area of the circle is A=%28pi%29r%5E2
A=%28pi%2914%5E2
A=%28pi%29196
A=615.7522 approx
by the way pi doesnt even equal (22/7) (22/7)=3.142857 repeating pi=3.1415926535897932384.....doesnt repeat
and the answers differ
196*3.1415=615.7522 this is correct
196*3.1428=615.9888 this is wrong
the area of the circle is less than the area of the square by 168.2478

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the cirlce with a radius 14 is inscribed in a square. how would you compare the area of the square to the area of the circle? Use pi=22/7
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Draw the picture and you will see the diameter of the circle
equals a side of the square.
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diameter = 14
radius = 7
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Area of square = 14^2
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Area of circle = ((22/7)(7^2) = 22*7
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Comparing area of square to area of circle:
[14^2]/[22*7] = 1.2727
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area of square = 1.2727*area of circle
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Cheers,
Stan H.