Q4 of 26 Page 230

Calculate the length of tangent from a point 15 cm. away from the circle of a circle of radius 9 cm.


We know that tangent to a circle makes a right angle with radius.


∠OPQ = 90°


Applying Pythagoras


PQ2 = OP2 + OQ2


PQ2 = 92 + 152


PQ2 = 81 + 225


PQ2 = 306


PQ = cm


Length of tangent = cm


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