Circle chord

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

Final Answer:

x =  8.94 cm

Step-by-step explanation:

$$\begin{gathered} r=10\text{cm} \\ {r}^2=x^2+(x/2{)}^2 \\ {r}^2=x^2+x^2/4 \\ {r}^2=5/4\cdot x^2 \\ x=\frac{2\cdot r}{\sqrt{5}}=\frac{2\cdot 10}{\sqrt{5}}=4\sqrt{5}=8.94\text{cm} \end{gathered}$$

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