latoriajohnson2107 latoriajohnson2107
  • 22-04-2018
  • Mathematics
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Find the length of one side of a square inscribed in a circle that has a radius of 2cm

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AL2006
AL2006 AL2006
  • 22-04-2018
Since the square is inscribed in the circle, a diagonal
of the square is a diameter of the circle.

The diameter of the circle = 2 x radius = 4 cm .
The diagonal of the square = 4 cm.

The diagonal of a square is (length of a side) x (√2).

Side x √2 = 4 cm

Divide each side by √2:

Side = 4 cm / √2  =  4 √2 / 2  =  2 √2 =  2.83 cm  .

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