Circles
Concept Lectures
Session 01 : Circles: Definition, centre, radius, interior and exterior of a circle.
Session 02 : Circles: Minor Arc, Major Arc, Central Angle.
Session 03 : Circles: Chord, diameter, segment, major segment, minor segment, secant and tangent.
Session 04 : Theorem: If two arcs of a circle (or of congruent circles) are congruent, then corresponding chords are equal.
Session 05 : Theorem: If two chords of a circle (or of congruent circles) are equal, then corresponding arcs are congruent.
Session 06 : Theorem: The perpendicular from the center of a circle to a chord bisects the chord.
Session 07 : Theorem: The line joining the center and the mid-point of a chord is perpendicular to the chord.
Session 08 : Demonstration: How many circles can pass through one, two, three and more number of points on a plane?
Session 09 : Demonstration: Centre of the Circle lies on the angle bisector of angle between two equal chords.
Session 10 : Theorem: Centre of the Circle lies on the angle bisector of angle between two equal chords.
Session 11 : Theorem: If the centre lies on angle bisector of the angle between two chords then the chords are equal.
Session 12 : Theorem: Line joining the centres of two intersecting circles perpendicularly bisects the common chord
Problem Solving Sessions : Section 1
Session 13 : Problem # 01 : The radius of a circle is 13 cm and length of one of its chord is 10 cm. Find the distance of the chord from the center.
Session 14 : Problem # 02 The radius of the given circle is 5 cm. OR ⊥PQ, OC⊥AB and PQ || AB. Find the length of RC
