Distance of chord PQ from the centre of a circle is 30 cm. Length of the chord PQis 32 cm. Find the diameter of the circle.
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Radius of a circle is 5cm
therefore OA= 5cm
perpendicular drawn to the chord from the centre bisects the chord
therefore AM=MB
triangle OMA is right angled triangle at M
∠OMA=90
∘
by apply pythogoras theorm
OA
2
=OM
2
+MA
2
MA=
OA
2
−OM
2
MA=
5
2
−3
2
MA=
16
MA=4
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