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In the given figure, O is the centre of thecircle, PT is the tangent drawn from thepoint P to the circle and PAB passesthrough the centre O of the circle.If PT 6 cm and PA 3 cm, then find theradius of the circle6 cmSHOT ON MI AlMI DUAL CAMERA |
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Answer» In the figure, OPT is a right angled triangle, right angled a T (As PT is a tangent).So, let OT and OA be r.Thus,r² + PT² = OP²or, r² + 6² = (r+3)²or, r² + 36 = r² + 6r +9or, 6r + 9 = 36 (Cutting off r² from both sides)or, 6r =27or, r = 27/6 = 9/2 = 4.5cm you are write |
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