# Square and circles

Square with sides 83 cm is circumscribed and inscribed with circles. Determine the radiuses of both circles.

Correct result:

r =  41.5 cm
R =  58.69 cm

#### Solution:

$R=r \cdot \ \sqrt{ 2 }=41.5 \cdot \ \sqrt{ 2 }=58.69 \ \text{cm}$

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