In a circle, two parallel chords on the same side of a diameter have lengths 4 cm and 6 cm. If the distance between these chords is 1 cm, then the radius of the circle, in cm, is
Explanation:
OP⊥ PQ and OQ⊥ AB
In a circle perpendicular to the chord bisects the chord. ∴ CP = PD = 3 and AQ = QB = 2
Let OP = x cm
OC = OB
In ∆OPC and ∆OQB ∴ Radius = PC2+PO2 = QB2+QO2
∴ 32+x2 = 22+(x+1)2
∴ x = 2
∴ Radius = 92+22 = √13
Hence, option (b).
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