Question

The length of a chord which is at a distance of 5 cm from the centre of a circle whose radius is 10 cm is :


5√3 cm

10√3 cm

2.5√3 cm​

Answer 1

Step-by-step explanation:

Let AB be a chord of a circle with centre O and radius 13 cm. Draw OL⊥AB. Join OA.

Here, OL=5 cm,OA=13 cm.

In right triangle OLA,

OA

2

=OL

2

+AL

2

13

2

=5

2

+AL

2

AL

2

=144

AL=12

Since the perpendicular from the centre to a chord bisects the chord. Therefore,

AB=2AL=2×12=24 cm