Circle Geometry Definitions secant radius diameter centre chord

Circle Geometry

Definitions secant radius diameter centre chord tangent concentric circles

Definitions secant radius diameter centre chord tangent concentric circles

Definitions minor arc major arc

Definitions minor sector major sector

Definitions major segment minor segment

Definitions minor sector minor arc major sector major segment minor segment

Theorem 1 Equal chords subtend equal angles at the centre Proof :

Theorem 1 Equal chords subtend equal angles at the centre Proof :

Theorem 1 Equal chords subtend equal angles at the centre Proof :

Theorem 1 Equal chords subtend equal angles at the centre Proof :

Theorem 2 If the angles subtended at the centre of a circle are equal, then the chords are equal in length. (Converse of Theorem 1) Proof : Your turn

Theorem 2 If the angles subtended at the centre of a circle are equal, then the chords are equal in length. (Converse of Theorem 1) Proof :

Theorem 3 Equal chords are equidistant from the centre. Proof :

Theorem 3 Equal chords are equidistant from the centre. Proof :

Theorem 3 Equal chords are equidistant from the centre. Proof :

Theorem 3 Equal chords are equidistant from the centre. Proof :

Theorem 4 The line from the centre of a circle to a chord bisects the chord. Proof :

Theorem 4 The line from the centre of a circle which bisects the chord, is perpendicular to it. Proof :

Theorem 4 The line from the centre of a circle which bisects the chord, is perpendicular to it. Proof :

Theorem 4 The line from the centre of a circle which bisects the chord, is perpendicular to it. Proof :

Theorem 5 The perpendicular from the centre of a circle to a chord bisects the chord. Proof : Your turn

Theorem 5 The perpendicular from the centre of a circle to a chord bisects the chord. Proof :

Theorem 5 The perpendicular from the centre of a circle to a chord bisects the chord. Proof :

Theorem 5 The perpendicular from the centre of a circle to a chord bisects the chord. Proof :