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if two tangents inclined at an angle of 60 are drawn to a circle of r=6cm then find length of each tangent |
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Answer» : length of each tangent is 10.392 CM.Step-by-step explanation:SUPPOSE O be the centre of the circle and PA and PB be the two TANGENTS drawn from P to the circle so that angle APB= 60°Join OP,OA and OB.Then angle OAP= angle OBP = 90° andangle OPA = angle OPB = 30°OA = OB = 6 cm.In the right triangle OAP,OA/AP = tan 30° => 6/AP = 1/√3So AP= 6√3cm or 6×1.732=10.392 cmSo length of each tangent = 10.392 cm. |
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