A point P is 18 cm from the centre of a circle. The radiusradius of the circle is 12 cm then find the length of the tangent drawn to the circle from the point P.
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Answer:
Given;
OP = 18 cm
OQ = 12 cm
OQ is perpendicular to the PQ
[ Radius is perpendicular to the tangent at the point of contact ]
.°. In right ∆OQP,
OP² = OQ² + PQ²
=> (18)² = (12)² + PQ²
=> 324 = 144 + PQ²
=> PQ² = 180
=> PQ = √180 cm
.°. PQ = 6√5 cm
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