Q1 of 26 Page 86

Choose correct alternative answer and fill in the blanks.

Radius of a circle is 10 cm and distance of a chord from the center is 6 cm. Hence the length of the chord is .........



Given that


Radius = 10cm


So, OA = 10cm


And OP = 6 cm


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


the chord.


∴ AP = PB,


AB = 2PB


In the right angled ΔOAP using Pythagoras theorem,


⇒ OA2 = OP2 + AP2


⇒ 102 = 62 + AP2


⇒ 100 = 36 + AP2


⇒ AP2 = 64


⇒ AP = 8cm


So, the length of chord is 8× 2 = 16cm (AB = 2AP)


The correct answer is A.

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