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in Circle : Chord and Arc by (49.4k points)
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In a circle with centre P, chord AB is drawn of length 13 cm, seg PQ ⊥ chord AB, then find l(QB)

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seg PQ ⊥ chord AB … [Given] 

∴ l(QB) = (1/2) l(AB)… [Perpendicular drawn from the centre of a circle to its chord bisects the chord] 

∴ l(QB) = (1/2) x 13 …[∵ l(AB) = 13 cm] 

∴ l(QB) = 6.5 cm

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