Question

Radius of circle is 10cm distance of chord from centre is 24cm. find the length of chord​

Answer 1

Answer:

8 cm

R.E.F image 

Given OA=OB=10CM

AB=12CM

In △ OAC

(OA)2=(OC2)+(AC)2

(10)2=(OC)2+(OC)2+(6)2

(OC)2=100−36

(OC)2=64

[OC=8CM]

∴[ length of OC=8cm.]

Answer 2

Answer:

Answer

Length of chord AB =24cm

The distance of chord AB from centre =10cm

We know that line joining the centre of the circle to the chord is perpendicular to the chord.

Therefore, in the above figure OC⊥AB

Applying Pythagoras theorem in triangle AOC we get,

AO 2 =OC

2

+AC

2

, where

AC=

2

24

=12cm and OC=10cm

Then,

AO

2

=12

2

+10

2

AO 2 =144+100

AO= 155 cm

hope it helps u