Answers

2015-03-15T08:14:13+05:30
In the figure, OPT is a right angled triangle, right angled a T (As PT is a tangent).
So, let OT and OC be r.
Thus,  r² + PT² = OP²
or, r² + 6² = (r+3)²
or, r² + 36 = r² + 6r + 9
or, 6r + 9 = 36  (Cutting off r² from both sides)
or, 6r = 27
or, r = 27/6 = 9/2 = 4.5cm

Hope that helps!!
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