Question

The lengths of parallel chords which are on same side of the centre of a circle are 6 cm and 8 cm. If radius of circle is 5 cm, then the distance between these chords is 2 cm
1 cm
8 cm
7 cm

Answer 1

Answer:

1cm

Step-by-step explanation:

i hope this is useful for you

Answer 2

Answer:

Step-by-step explanation:

let r be the radius of the circle

draw OM⊥AB&OL⊥CD

AM=AB2&CL=CD2

AM=62&CL=82

AM=3cm&CL=4cm

MO=4cm

in ∠AMO,∠AMO=90∘

so, by pythagoras theorem

(AO)2=(AM)2+(MO)2

(AO)2=32+42

(AO)2=9+16

(AO)2=25

AO=5CM

so, r= 5cm

OC=5cm

in ∠CLO,∠CLO=90∘

(OC)2=(CL)2+(LO)2

(5)2=42+(LO)2

(LO)2=25−16=9

LO=3cm