# Square and circles

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

Result

r =  41.5 cm
R =  58.69 cm

#### Solution:

$a=83 \ \text{cm} \ \\ r=a/2=83/2=\dfrac{ 83 }{ 2 }=41.5 \ \text{cm}$
$R=r \cdot \ \sqrt{ 2 }=41.5 \cdot \ \sqrt{ 2 } \doteq 58.6899 \doteq 58.69 \ \text{cm}$

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