Question

A chord is at a distance of 8cm from a centre of a circle of radius 17 cm what is the length of chord

Answer 1

$5 \sqrt{5}$

Answer 2

the answer is 10√5.

use these properties for reference:-

1.Radius is perpendicular to chord at point of contact.

2.Radius divides the chord into two equal halves when bisected perpendicularly.

Hence use Pythagoras theorem:-

you get half the length of chord = 5√5

therefore,length of cord is = 5√5 x 2

= 10√2 cm.