Question

In a circle with centre P, AB is a chord. If the length of a radius is 17 cm and AB = 30 cm, then find the distance of AB from the centre P.
Answer should be 8
Please tell method​

Answer 1

Answer:

Let AB be the chord with length =16cm

OA=radius=17cm

Now, OC⊥AB

Then, AC=CB=8cm (perpendicular drawn from the centre of the circle to the chord,bisects the chord)

∴OC=

(OA

2

−AC

2

)

=

(17

2

−8

2

)

=

(225)

=15cm

Hence, OC=15cm