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A circle is inscribed in a rhombus with sides of length 4 cm. If the two acute angles in the rhombus each measure $90^{\circ}$, what is the length of the circle's radius? Express your answer in simplest radical form.

 Jun 4, 2024
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   A circle is inscribed in a rhombus with sides of length 4 cm.     

   If the two acute angles in the rhombus each measure $90^{\circ}$,     

   what is the length of the circle's radius? Express your answer in simplest radical form.     

 

   If the rhombus has two 90o angles, the rhombus is the special case of a square.     

   The diameter of a circle inscribed in a square is the same as a side of the square.     

   So the diameter is 4 cm, and the radius is half the diameter, so the radius is 2 cm.     

   .     

 Oct 27, 2026

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