Shape

Plane shape has a maximum area 677 mm². Calculate its perimeter if perimeter is the smallest possible.

Correct result:

o =  92.2 mm

Solution:

$$\begin{gathered} S=677{\text{mm}}^2 \\ S=\pi \cdot r^2 \\ r=\sqrt{S\mathrm{/}\pi }=\sqrt{677\mathrm{/}3.1416}\doteq 14.6798\text{ mm } \\ o=2\pi \cdot r=2\cdot 3.1416\cdot 14.6798=92.2\text{ mm} \end{gathered}$$

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