Described circle to rectangle

The rectangle with 6 cm and 4 cm sides was a circumscribed circle. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%).

Correct answer:

p =  58.7649 %

Step-by-step explanation:

$$\begin{gathered} a=6\text{cm} \\ b=4\text{cm} \\ A=a\cdot b=6\cdot 4=24{\text{cm}}^2 \\ u=\sqrt{a^2+b^2}=\sqrt{6^2+4^2}=2\sqrt{13}\text{cm}\doteq 7.2111\text{cm} \\ r=u/2=7.2111/2=\sqrt{13}\text{cm}\doteq 3.6056\text{cm} \\ B=\pi \cdot r^2=3.1416\cdot 3.6056^2\doteq 40.8407{\text{cm}}^2 \\ x=A/B=24/40.8407\doteq 0.5876 \\ p=100\cdot x=100\cdot 0.5876=58.7649\% \end{gathered}$$

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