Chord 4

I need to calculate the circumference of a circle, and I know the chord length c=16 cm and the distance from the center d=15 cm chord to the circle.

Final Answer:

x =  106.81 cm

Step-by-step explanation:

$$\begin{gathered} t=16\text{cm} \\ d=15\text{cm} \\ {r}^2=d^2+(t/2{)}^2 \\ r=\sqrt{d^2+(t/2{)}^2}=\sqrt{15^2+(16/2{)}^2}=17\text{cm} \\ x=2\pi \cdot r=2\cdot 3.1416\cdot 17=106.81\text{cm} \end{gathered}$$

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