Question

the pair of tangents AP and AQ drawn from an external point
A to a circle with centre 0 are perpendicular to each other and length of
each tangent is 5 cm. Then radius of the circle is
5 cm​

Answer 1

refer to the attached image ✌️

Answer 2

Answer:-

Join 0A.

Triangles OPA and OQA are congruent.

⠀⠀⠀⠀=> <PAO = < QAO =45°

⠀⠀⠀Tangent and radius are perpendicular at the point of contact.

<OPA =90°

=> <OAP = <AOP = 45°

=> OP = AP = 4cm

⠀⠀So, the radius of circle is 4 cm.