Q3 of 26 Page 79

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.


Given that


Radius = 34cm


So, OA = 34cm


And OP = 30 cm


We know that a perpendicular drawn from the center of a circle on its chord bisects


the chord.


∴ AP = PB,


AB = 2PB


In the right angled ΔOAP using Pythagoras theorem,


⇒ OA2 = OP2 + AP2


⇒ 342 = 302 + AP2


⇒ 1156 = 900 + AP2


⇒ AP2 = 256


⇒ AP = 16cm


So, the length of chord is 16× 2 = 32cm (AB = 2AP)


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