The figure shows a circle of radius one unit with centre O and
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AB bisects chord PQ at point C.
Therefore,
PR=QR=8cm
RB=4cm
Let, radius OA=OB=r
OB=OR+RB
=>r=OR+4
=>OR=r−4 (i)
Now,
OP² = OR² + PR²
=>r = ( r - 4)² + 8² ( using i)
=>r² = r² −8r+16+64
= >8r=80
=>r=10cm
the radius of the circle is 10cm
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