3 years ago

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?

Mathematics

1 answer:

zzz [600]3 years ago

4 0

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

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

$r^{2}=81+25$

$r=\sqrt{106}\ cm$

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