Tangent

What distance is the tangent t of the circle (S, 4 cm) and the chord of this circle, which is 6 cm long and parallel to the tangent t?

Correct answer:

x =  1.3542 cm

Step-by-step explanation:

$$\begin{gathered} r=4\text{ cm } \\ t=6\text{ cm } \\ {t}_2=t\mathrm{/}2=6\mathrm{/}2=3\text{ cm } \\ y=\sqrt{r^2-t_2^2}=\sqrt{4^2-3^2}=\sqrt{7}\text{ cm}\doteq 2.6458\text{ cm } \\ x=r-y=4-2.6458=1.3542\text{ cm} \end{gathered}$$

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