Square circle difference

A circle is inscribed in a square with a side of 12 cm so that it touches all its sides. Calculate the difference between the area of the square and the circle.

Final Answer:

x =  30.9027 cm²

Step-by-step explanation:

$$\begin{gathered} a=12\text{cm} \\ {S}_1=a^2=12^2=144{\text{cm}}^2 \\ r=a/2=12/2=6\text{cm} \\ {S}_2=\pi \cdot r^2=3.1416\cdot 6^2\doteq 113.0973{\text{cm}}^2 \\ x=S_1-S_2=144-113.0973=30.9027{\text{cm}}^2 \end{gathered}$$

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