Pq is the diameter of the circle with centre o and pr is a chord such that
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given... AB is the diameter and PQ is the chord of the circle with centre O and AB bisects PQ at R also PR = RQ = 8 cm and RB = 4 cm
we know that the line from the centre of the circle which bisects the chord is perpendicular to the chord
⇒ AB ⊥ PQ
Let the radius of the circle be r
⇒ OP = OB = r
⇒ OR + RB = r
⇒ OR = r – RB = r-4
Now in right ∆ ORP
OR²+PR²=OP²
⇒ (r – 4)²+8²=R²
⇒r²+4²-2*4*r+64=r²
⇒16-8r+64=0
⇒8r=80
⇒r=80/8
⇒r=10
∴RADIUS 10
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