If two tangents are inclined at 60˚ are drawn to a circle of radius 3cm then
find length of each tangent.
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Answer:
Let PA and PB be the two tangents to a circle with centre 0 and radius 3 centimetre .
hence, Angle APO = Angle BPO
= 1/2 × APB
=. 1/2 × 60°
= 30°
Also , OA perpendicular AP
OB perpendicular BP .
tan 30° = 3 / PA
= 1 /√3 = 3 / PA .
= PA = 3√3 cm .
= PA = PB = 3√3 cm .
Explanation:
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