Question

The radius of a circle is $13$ cm and the length of one of its chords is $10$ cm, find the distance of the chord from the centre.

Answer 1

Given

radius = 13 cm

length of one of its chord = 10 cm

1/2 chord$=10\times 1/2=5cm$

Distance of the chord =$\sqrt{r^2-l^2}$

$=\sqrt{{13}^2-5^2}$

$=\sqrt{169-25}$

$=\sqrt{144}$

$=\sqrt{(12{)}^2}$

= 12. cm

$\therefore$ The distance of the chord = 12 cm.