Question

Find the measure of chord EF. Enter your numerical answer.

Answer 1

Notice that each chord (CD and EF) defines a segment in the circle whose arc length has the same value. Thus, the length of both chords has to be the same; then,

$\begin{gathered} CD=EF \\ \Rightarrow9x-1=41-5x \\ \Rightarrow14x=42 \\ \Rightarrow x=3 \end{gathered}$

Finding the length of EF,

$\begin{gathered} x=3 \\ \Rightarrow EF=41-5*3=26 \end{gathered}$

Therefore, the answer is 26