The figure is a circle with centres and diamo
20cm. MN=2cm. Find ne length of PQ
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Answer:From the given diagram,
OA is the radius of the circle.
OB is the radius of the circle.
OC is the radius of the circle.
EF is the diameter of the circle.
MN is the chord of the circle.
PQ is the chord of the circle.
Step-by-step explanation:
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Let the radius of a circle be x
So, OC=OD=x
As, OB=OE+EB
x=OE+4 [Since Ob is the radius and EB=4 cm given]
OE=x−4
We know ,that if a line drawn from the centre to the chord bisects the chord, then it is perpendicular to the chord
Hence, OE⊥CD
In △OED
−8x+80=0
8x=80
x=10 cm
Thus, radius of the circle is 10 cm.
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