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

Answer:

$r=\sqrt{106}\ cm$

Step-by-step explanation:

see the attached figure to better understand the problem

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

$r^{2}=9^{2}+5^{2}$

$r^{2}=81+25$

$r=\sqrt{106}\ cm$