Question

what is the length of a chord which is 3 cms away from the centre of a circle having radius 5cms ?​

Answer 1

Answer:

The length of the chord of distance 3cm from its centre is 8cm

Answer 2

Answer:

Radius of a circle is 5cm

therefore OA= 5cm

perpendicular drawn to the chord from the centre bisects the chord

therefore AM=MB

triangle OMA is right angled triangle at M

∠OMA=90

∘

by apply pythogoras theorm

OA

2

=OM

2

+MA

2

MA=

OA

2

−OM

2

MA=

5

2

−3

2

MA=

16

MA=4

therefore the length of chord AB=2MA

AB=8cm