Question

In fig.13.30,the radius of the given circle,with centre c,is 6 cm if the chord ab is 3 cm away from the centre,calculate its length

Answer 1

Let O be the center

AB the diameter.

Now by NCERT theorem a line passing through the center bisecting any chord is perpendicular to it.

Therefore

Given=EB is 4cm

So let OE be (radius-4)or (r-4)

Now in right triangle OEC by applying pythagorus theorem you will get the answer

(R-4)2+82=R2

R2+16-8R+64=R2

R2cancelled

8R=80

R=10cm

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