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Example 11:In the given figure, PAE is e secant to the cirale from a point P outside the cirdle. PAB passes through thecentre of the orcie and PT ts a tangent if PT8 on and OP10 cm, then find the radius of the circle. |
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Answer» join OT that is radius let it be rj ,PT is tangent , so PT is perpendicular to OT .Now considering Right triangle OPT ,apply Pythagoras theoremso OT² + PT² = OP² r² + 8² = 10² r² = 100-64 = 36 so r = 6 which radius of circle. |
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