Question

Radius of a circle is 34 cm and the distance of the chord from the center is 30 cm, find the length of the chord.

Answer 1

R.E.F image

Given radius of circle = 34 cm

distance of chord form center = 30 cm

Given $OA=34cm$

$OC=30cm$

$△OAC$ is right angled

By applying Pythagorean's theorem

$O{A}^2=O{C}^2+A{C}^2$

$A{C}^2=O{A}^2-O{C}^2$

$(34{)}^2-(30{)}^2$

$=1156-900$

$=256$

$AC=\sqrt{256}=16cm$

$\therefore$ length of chord = 2AC = AB 2(16 cm)

$=32cm$