Question

in a circle of a centre 'p' chord AB=chord CD. if chord AB is at a distance of 2.8 cm from the centre of the circle then find the distance of chord CD from centre of the circle.​

Answer 1

Answer:

Let AB =8 cm. be the chord of the circle with radius AO=5 cm.

Draw OP⊥AB.join OA

according to the theorem

AP=

2

1

AB=

2

1

×8=4cm.

In △APO,∠A=90

∘

∴(AO)

2

=(AP)

2

+(OP)

2

OP=

(AO)

2

−(AP)

2

⇒

5

2

−4

2

⇒

9

⇒OP=3cm