Perimeter to area

Calculate the area of a circle with a perimeter of 15 meters.

Correct answer:

S =  17.9049 m²

Step-by-step explanation:

$$\begin{gathered} o=15\text{ m } \\ o=\pi D=2\pi r \\ r=o\mathrm{/}(2\pi )=15\mathrm{/}(2\cdot 3.1416)\doteq 2.3873\text{ m } \\ S=\pi \cdot r^2=3.1416\cdot 2.3873^2=17.9049{\text{m}}^2 \end{gathered}$$

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