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Draw a circle of radius 6 cm using ruler and compasses. Draw one of its diameters. Draw the perpendicular bisector of this diameter. Does this perpendicular bisector contain another diameter of the circle?

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Steps of construction:

(i) Draw a circle with centre O of radius 6 cm.

(ii) Now, draw a diameter AB of the circle.

(iii) With the centre B and the radius more than 1/2(AB), draw the arcs on each side of AB.

(iv) With the centre A and the same radius, draw the arcs on each side of AB which cuts the previously drawn arc at X and Y.

(v) Now join OX and OY and produce them to any points P and Q.

Thus PQ bisects the diameter of a circle. Yes, the perpendicular PQ contains another diameter of this circle.

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