Question

A chord in a circle is 18 cm long and is 5 cm from the center of the circle. How long is the radius of the circle?

Answer 1

`r=√(106)\ cm`

Explanation:

see the attached figure to better understand the problem

Applying Pythagoras Theorem in the right triangle ODB find the radius of the circle

`r^(2)=9^(2)+5^(2)`

`r^(2)=81+25`

`r=√(106)\ cm`