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the length of the radius is 12 CM.
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PQ is a tangent and PAB is a secant
PQ² = PA × PB. ( tangent secant segments theorem )
5² = 1 × PB
25 - 1 = PB
PB = 24
Now,
AB = PB - PA
AB = 24- 1
AB = 23
Now,
radius = OA = ½× AB
radius = OA = ½ ×23
radius = OA = 11.5 cm
PQ² = PA × PB. ( tangent secant segments theorem )
5² = 1 × PB
25 - 1 = PB
PB = 24
Now,
AB = PB - PA
AB = 24- 1
AB = 23
Now,
radius = OA = ½× AB
radius = OA = ½ ×23
radius = OA = 11.5 cm
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