Question

The 1 2 (diameter) of circle is 10 + 5a. A chord XY lies 5 + 2acm from its center. Find the length of chord.l​

Answer 1

Answer:

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.