In the figure, ‘O’ is the centre of the circle . Seg OP is perpendicular
chord AB.
l(AB) = 11 cm, then find l(PB) . Give reasons
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OA is the radius of the circle
Perpendicular drawn from centre to a chord bisects the chord.
Therefore AM=
2
1
AB
AM=10cm
Thus, triangle OMA is right angled triangled at ∠OMA.
∠OMA=90
∘
.
By Pythagoras theorem,
OA
2
=OM
2
+MA
2
OA=
OM
2
+MA
2
OA=
(2
11
)
2
+10
2
OA=
144
cm
OA=12cm
Radius of a circle is 12cm.
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