Saved Bookmarks
| 1. |
if two tangents inclined at an angle of 60 degree are drawn to a circle of radius 6 CM then the length of each tangent is |
|
Answer» if two tangents inclined at an ANGLE of 60 DEGREE are drawn to a CIRCLE of radius 6 CM then the length of each tangent isStep-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 = 3 cm.In the right triangle OAP,OA/AP = tan 30° => 3/AP = 1/√3So AP= 3√3cm or3×1.732=5.196 cmSo length of each tangent = 5.196 cm |
|