Draw two circles passing through A, B where AB = 5.4cm

In the figure PR and QS are two diameters. Is PQ = RS?

Draw the following triangles and construct circumcircles for them.

(i) In ∆ ABC, AB = 6cm, BC = 7cm and ∠A = 60°

(iii) In ∆ XYZ, XY = 4.8cm, ∠X = 60° and ∠Y = 70°

(iii) In ∆ XYZ, XY = 4.8cm, ∠X = 60° and ∠Y = 70°

If two circles intersect at two points, then prove that their centres lie on the perpendicular bisector of the common chord.

If two intersecting chords of a circle make equal angles with diameter passing through their point of intersection, prove that the chords are equal.