Question

A radius of a circle is 14 cm and a chord has 18 cm. What is the distance between the center of the circle and the chord

Answer 1

Answer: $10.72\ cm$

Step-by-step explanation:

Given

Radius of circle $r=14\ cm$

Length of chord is $l=18\ cm$

Suppose the distance between the chord and center is x

From figure, we can write

$\Rightarrow r^2=x^2+9^2\\\Rightarrow 14^2=x^2+9^2\\\Rightarrow x^2=196-81\\\Rightarrow x^2=115\\\Rightarrow x=\sqrt{115}\\\Rightarrow x=10.72\ cm$