String 63794

The chord AB is in the circle k with a radius of 13 cm. The center C of the string AB is 5 cm from the center S of the circle. How long is the AB string?

Correct answer:

t =  24 cm

Step-by-step explanation:

$$\begin{gathered} r=13\text{cm} \\ s=5\text{cm} \\ {r}^2=s^2+(\frac{t}{2}{)}^2 \\ t=2\cdot \sqrt{r^2-s^2}=2\cdot \sqrt{13^2-5^2}=24\text{cm} \end{gathered}$$

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