Circle chord

Calculate the length of the chord of the circle with radius r = 10 cm, length of which is equal to the distance from the center of the circle.

Correct answer:

x =  8.9443 cm

Step-by-step explanation:

$$\begin{gathered} r^2=x^2+(x\mathrm{/}2{)}^2 \\ {r}^2=x^2+x^2\mathrm{/}4 \\ {r}^2=5\mathrm{/}4\cdot x^2 \\ x=2r\mathrm{/}\sqrt{5} \\ x=8.9443\text{ cm} \end{gathered}$$

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