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`

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=√(115)\\\Rightarrow x=10.72\ cm`