Question

C is the centre of the circle whose radius is 10 cm. Find the distance of the chord from the centre of the lenght of the chord is 16.​

Answer 1

Step-by-step explanation:

From the figure shown,

Radius=OA=10cm.

AB is the chord drawn with the length=16 cm.

We know,

perpendicular drawn from the centre of the circle to the chord ,bisects the chord

hence, C is the midpoint of AB.

Therefore,

AC=

2

AB

=

2

16

=8

So using Pythagorean Theorem:

OA

2

=OC

2

+AC

2

10

2

=OC

2

+8

2

100=OC

2

+64

OC

2

=36

OC=6cm