Pavement

Calculate the length of the pavement that runs through a circular square with a diameter of 40 m if distance the pavement from the center is 15 m.

Correct result:

x =  26.4575 m

Solution:

$$\begin{gathered} D=40\text{ m } \\ h=15\text{ m } \\ r=D\mathrm{/}2=40\mathrm{/}2=20\text{ m } \\ (x\mathrm{/}2{)}^2+h^2=r^2 \\ x=2\cdot \sqrt{r^2-h^2}=2\cdot \sqrt{20^2-15^2}=10\sqrt{7}=26.4575\text{ m} \end{gathered}$$

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