Question

The pair of langent Ap, and PB
drawn from an external point to a circle with center
o are perpendicular to each other and the length of each tangent is 5 cm find the radius​

Answer 1

Answer:

Join OA.

Triangles OPA and OQA are congruent.

⇒∠PAO=∠QAO=45

o

Tangent and radius are perpendicular at the point of contact.

∠OPA=90

o

⇒∠OAP=∠AOP=45

o

⇒OP=AP=4cm

So the radius of the circle is 4 cm.

So option D is the right answer.