Question

The diameter of the circle is 34cm and a chord is at a distance of 15cm from
the centre. Find the length of the chord of the circle. circles chapter

Answer 1

Answer:

16

Step-by-step explanation:

d=34

r=17

Im just gonna use the picture to help explain

to get AP we can use the pythagoras theorem

${17}^{2} - {15}^{2} = {ap}^{2}$

$289 - 225 = {ap}^{2}$

$64 = {ap}^{2}$

Therefore AP =8

AB=AP+PB

AP=PB. (line perpendicular to chord bisects chord)

Therefore AB=16