Answer: [tex]10.72\ cm[/tex]
Step-by-step explanation:
Given
Radius of circle [tex]r=14\ cm[/tex]
Length of chord is [tex]l=18\ cm[/tex]
Suppose the distance between the chord and center is x
From figure, we can write
[tex]\Rightarrow r^2=x^2+9^2\\\Rightarrow 14^2=x^2+9^2\\\Rightarrow x^2=196-81\\\Rightarrow x^2=115\\\Rightarrow x=\sqrt{115}\\\Rightarrow x=10.72\ cm[/tex]
