Chord - TS

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

Result

|TS| =  4.02 cm

Solution:

α=4768⋅180/π=39.601∘ α/2=19.8005∘ ∣TS∣=r−rcos⁡α/2 ∣TS∣=68−68cos⁡19.8005∘ ∣TS∣=4.02 cm\alpha = \dfrac{ 47 }{ 68 } \cdot 180 / \pi = 39.601 ^\circ \ \\ \alpha/2 = 19.8005 ^\circ \ \\ |TS| = r - r \cos \alpha/2 \ \\ |TS| = 68 - 68 \cos 19.8005 ^\circ \ \\ |TS| = 4.02 \ \text{cm}

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