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  • 24-01-2020
  • Mathematics
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The perimeter of a square with side length $x$ units is equal to the circumference of a circle with radius 2 units. What is the value of $x$?

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sqdancefan
sqdancefan sqdancefan
  • 24-01-2020

Answer:

  x = π

Step-by-step explanation:

The circumference of the circle is given by ...

  C = 2πr = 2π(2) = 4π

The perimeter of a square of side length x is given by ...

  P = 4x

You want the perimeter equal to the circumference, so ...

  4π = 4x

  π = x . . . . . . . divide by 4

The value of x is π.

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