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In the figure, the pair of tangents AP and AQ, drawn from an external point A to a circle with centre O, are perpendicular to each other and length of each tangent is 4 cm, then the radius of the circle is



  • a)
    10 cm

  • b)
    4 cm

  • c)
    7.5 cm

  • d)
    2.5 cm

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In the figure, the pair of tangents AP and AQ, drawn from an external ...
Join OA.


Triangles OPA and OQA are congruent.


⇒∠PAO = ∠QAO = 45o


Tangent and radius are perpendicular at the point of contact.


∠OPA = 90o


⇒∠OAP = ∠AOP = 45o


⇒OP = AP = 4cm


So the radius of the circle is 4 cm.
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Most Upvoted Answer
In the figure, the pair of tangents AP and AQ, drawn from an external ...
Join OA.
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 the circle is 4 cm.
So option b is the right answer.
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Community Answer
In the figure, the pair of tangents AP and AQ, drawn from an external ...
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In the figure, the pair of tangents AP and AQ, drawn from an external point A to a circle with centre O, are perpendicular to each other and length of each tangent is 4 cm, then the radius of the circle isa)10 cmb)4 cmc)7.5 cmd)2.5 cmCorrect answer is option 'B'. Can you explain this answer?
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