Construct a circle of radius 4.5 cm

Use ruler and compass for this question. Construct a circle of radius 4.5 cm. Draw a chord. AB = 6 cm.

1. Find the locus of points equidistant from A and B. Mark the point where it meets the circle as D.
2. Join AD and find the locus of points which are equidistant from AD and AB. Mark the point where it meets the circle as C.
3. Join BC and CD. Measure and write down the length of side CD of the quadrilateral ABCD.

Answer