Chapter 9

Circle

• Circle is a closed figure of points which are at a constant distance from a fixed points, centre and constant distance is called radius.
• Two circles are congruent if and only if they have equal radii.
• Equal chords of a circle subtend equal angles at the centre and conversely.
• Two arcs of a circle are congruent if their corresponding chords are equal and conversely.
• The perpendicular drawn from the centre of a circle to a chord bisects the chord.
• The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

Theorem 1. There is one and only one circle passing through three non-collinear points...............