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
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refer to the attached image ✌️
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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.
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