Circle and rectangle

A rectangle with sides of 11.7 cm and 175 mm is described by circle. What is its length? Calculate the content area of the circle described by this circle.

Correct answer:

x =  66.1333 cm
S =  348.0413 cm²

Step-by-step explanation:

$$\begin{gathered} a=11.7\text{ cm } \\ b=175\mathrm{/}10={\displaystyle \frac{35}{2}}=17.5\text{ cm } \\ u=\sqrt{a^2+b^2}=\sqrt{11.7^2+17.5^2}\doteq 21.0509\text{ cm } \\ r=u\mathrm{/}2=21.0509\mathrm{/}2\doteq 10.5254\text{ cm } \\ x=2\pi \cdot r=2\cdot 3.1416\cdot 10.5254=66.1333\text{ cm} \end{gathered}$$

$S=\pi \cdot r^2=3.1416\cdot 10.5254^2=348.0413{\text{cm}}^2$

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