Question

O is centre of circle find the length of the radius. If the chord of length. 16 cm is at a. Distance of 9 cm from the center of the circle Please explain me

Answer 1

Answer =

Solution:

Join OA

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.

So, AP = AB = 24 = 12 cm

___ ___

2 2

In triangle OPA,

we apply the Pythagoras theorem,

2 2 2

op + AP = OA

2 2 2

9 + 12 = 0A

2

OA = 81 + 144 = 225

0A = √225 15 cm

Hence, the radius of the circle is 15 cm.

Hope it helps , pl marks it brainliest.