Question

Length of a longest chord of a circle
is 13 cm, then the length of the
chord which is at a distance of
25 cm from the centre of a circle
is​

Answer 1

From the figure, in the drawn right triangle;

Hypotenuse H= Radius of circle =13 cm.

P= perpendicular distance =12 cm, and ′ L ′

be the length of half-chord

(Note that By the property of Circle, Perpendicular drawn from Centre to Chord Bisects the Chord.)

By Pythagoras theorem, in the drawn right triangle shown in figure,

H 2 =L 2 +P 2

L=13 2 –12 2

• =5 cm

Now, length of the chord is 2.L=10cm

Therefore the length of chord will be 10 cm.

So, option D will be the answer.