beanrachel34orhnt8 beanrachel34orhnt8
  • 10-01-2018
  • Mathematics
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A circle is circumscribed about a square. If the sides of the square are 4, what is the exact circumference of the circle?

A circle is circumscribed about a square If the sides of the square are 4 what is the exact circumference of the circle class=

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carlosego
carlosego carlosego
  • 10-01-2018
Since we know the sides of the square which are L = 4 units, then by Pythagorean theorem we can find the diagonal of the square which is
 d = ((4 ^ 2) + (4 ^ 2)) ^ (1/2) = 5.66
 Then, since the diagonal of the square is also the diameter of the circle, then the circumference of the circle will be the product of Pi per diameter:
 C = pi * d = pi * 5.66 = 17.77 Units
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