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anonymous

  • one year ago

The area of a circle is equal to the area of a square. Which one is greater? A. circumference of the circle B. perimeter of the square

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  1. phi
    • one year ago
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    you can figure it out, but it is "well-known" (to those who know it well) that the shortest perimeter enclosing a fixed area is that of a circle.

  2. anonymous
    • one year ago
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    What does that mean?

  3. dumbcow
    • one year ago
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    it means the circle will always have the smallest perimeter compared to another shape

  4. anonymous
    • one year ago
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    so i don't have to go through steps to figure this out? The circle always has the smallest circumference/perimeter compared to every shape out there?

  5. phi
    • one year ago
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    if you did not know that, you start by saying \[ \pi r^2 = s^2 \\ s= r \sqrt{\pi} \] the perimeter of a circle vs square is \[ 2 \pi r \ vs \ 4s \\2 \pi r \ vs\ 4r \sqrt{\pi} \] divide both sides by 2r sqr(pi) \[ \sqrt{\pi} \ vs\ 2 \] pi is about 3.14 and its square root is less than the square root of 4 thus the perimeter of the circle is shorter

  6. dumbcow
    • one year ago
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    ^^ what they said

  7. phi
    • one year ago
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    ** compared to every shape out there?*** yes, that have the same area

  8. anonymous
    • one year ago
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    got it okay thanks phi!!!! <333

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