1 In the figure AB, CD are two parallel chords
of The cucle with center o and the distance
between them is 20m. If AB = 8cm, CD-4cm
a write the length of OQ , if op = x
b compute the value of x
c. Find the sadius of the circle
B В
А
Pl2cm
D
this answer please
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ANSWER
Given OP⊥AB and OQ⊥CD
CQ = QD = 3 cm
AP = BP = 4cm
In △OPA
OP
2
=OA
2
–AP
2
=r
2
–4
2
=25–16=9
⟹OP=3
In △OCQ
OQ
2
=
r
2
–3
2
=4
PQ=OP+OQ=4+3=7cm
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