# Circumscribed circle to square

Find the length of a circle circumscribing a square of side 10 cm. Compare it to the perimeter of this square.

Result

d =  0 cm

#### Solution:

$a=10 \ \\ o_{1}=4 \cdot \ a=4 \cdot \ 10=40 \ \\ D=\sqrt{ 2 } \cdot \ a=\sqrt{ 2 } \cdot \ 10 \doteq 10 \ \sqrt{ 2 } \doteq 14.1421 \ \\ r=D/2=14.1421/2 \doteq 5 \ \sqrt{ 2 } \doteq 7.0711 \ \\ d > o_{1} \ \\ d=\pi \cdot \ D=3.1416 \cdot \ 14.1421 \doteq 44.4288 \doteq 0 \ \text{cm}$

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