Question

the length of tangent to a circle which is 13 cm distance from the centre of circle is 12 cm find the radius of the circle​

Answer 1

Answer:5 cm

Step-by-step explanation:

Let a circle have a centre O ,

Consider a tangent PQ , Let the distance from the tangent to centre be OP , and radius of the circle be OQ

<OQP = 90 degrees ( radius to tangent )

By applying pythagorus property in Triangle OPQ , we get

OP squared = PQ squared + OQ squared

given OP = 13 cm and PQ is 12 cm

169 = 144 + __

169-144 = 25 = OQ squared

OQ ==> 5 cm