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OR3The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle and BD is atangent to the smaller circle touching it at D and intersecting the larger circle at P on producing. Findthe length of AP.111ATCT |
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Answer»
Produce BD to meet the bigger circles at E. Join AE.Then ∠AEB = 90° [Angle in a semicircle]OD ⊥ BE ['.' BE is TANGENT to the smaller circle at D and OD is its RADIUS]BD = DE ['.. BE is a chord of the circle and OD ⊥ BE] . ..OD || AE [. .. ∠AEB = ∠ODB = 90°]In ΔAEB O and D are mid-points of AB and BE. Therefore, by mid-Point THEOREM,we have =AD = 19 cm
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