Question

Radius of a circle distance of chord form the circle of the circle is 12 . find the length of chord​

Answer 1

Suppose AB is the chord. O is the centre of the circle. 

If OM is the perpendicular drawn from O to AB as its distance, then OAM and OMB are both right angled triangles. 

Since, length of the chord is 12cm, both AM and MB =212=6 cm

Now, radius of the circle OB=10 cm

Using Pythagoras theorem, we have 

⇒OB2=OM2+MB2

⇒102=OM2+62

⇒OM2=100−36=64

⇒ distance =OM=64=8cm

Answer 2

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