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Tangents to a Circle Example based on Results
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Problems based upon the result : if PAB is a secant to a circle intersecting the circle at A and B and PT is a Tangent Segment, then PA * PB = PT2.
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Example: in Fig, O is the center of the circle and PT is a tangent at T.if PC = 4 cm ,PT = 10 cm, calculate the radius of the Circle.
Solution:Since PT is the tangent and PCB is the Secant to the circle
PC * PB = PT2
4 * PB = 102
PB = 25
PC + CB = 25
4 + CB = 25
CB = 21
Hence radius of the circle = 1/2 (CB)= 10.5 cm
 
   
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