Question

O is centre of circle.find the length of radius,if the chord if length 16 cm is at a distance of 9cm from the centre of the circle​

Answer 1

Answer:

We know that the perpendicular drawn from the centre of the circle to the chord bisects the chord. Hence, the radius of the circle is 15 cm.

Step-by-step explanation:

Let the perpendicular drawn from point O to the chord AB be P.

We know that the perpendicular drawn from the centre of the circle to the chord bisects the chord.

24

AB - So, AP = = 2 = 12 cm

2

In Δ ΟΡΑ,

We apply the Pythagoras theorem,

OP2+ AP² = OA²

→ 9² +12²= OA²

OA² 81 +144 = 225

OA = √225 15 cm.

Hence, the radius of the circle is 15 cm.