Chord - TS

The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS?

Correct answer:

|TS| =  4.02 cm

Step-by-step explanation:

$$\begin{gathered} \alpha ={\displaystyle \frac{47}{68}}\cdot 180\mathrm{/}\pi =39.601^{\circ } \\ \alpha \mathrm{/}2=19.8005^{\circ } \\ \mathrm{\mid }TS\mathrm{\mid }=r-r\cos \alpha \mathrm{/}2 \\ \mathrm{\mid }TS\mathrm{\mid }=68-68\cos 19.8005^{\circ } \\ \mathrm{\mid }TS\mathrm{\mid }=4.02\text{ cm} \end{gathered}$$

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