Question
From an external point P, a tangent PT is drawn to a
circle with centre O. If OP = 17 cm and PT = 15 cm, then the radius of the circle is:Solution
ATQ, Radius is perpendicular to tangent at the point of contact. So in right triangle OPT: OP2 = OT2 + PT2 172 = r2 + 152 289 = r2 + 225 r2 = 64 r = 8 cm
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