Question
Draw a circle with centre $C$ and radius $3.4\ cm.$ Draw any chord $\overline {AB}$ . Construct the perpendicular bisector of $\overline {AB}$ and examine if it passes through $C,$ if $\overline {AB}$ happens to be a diameter.
✓
Answer
Let us draw a circle of radius of $3.4\ cm$ and take any of its diameter.
With $A$ as center and radius $AB$ draw a circle.
With $B$ as a center and same radius draw another circle.
Join their point of intersection and extend it on either side
Thus $EF$ passes through center $C$
With $A$ as center and radius $AB$ draw a circle.
With $B$ as a center and same radius draw another circle.
Join their point of intersection and extend it on either side
Thus $EF$ passes through center $C$
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