Basics Terms |Angle Subtended by a Chord

A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is

Circles|Interior And Exterior Of Circle|Circles - Terms Related To Circles|NCERT Exercise|Angle Subtended By A Chord At A Point|Theorem

Angle bisector of angles subtended by the chord of a circle in the same segmetn DOES NOT represent

The chord of a circle is sqrt(3) times its radius. The angle subtended by this chord at the minor arc is k times the angle subtended at the major arc. What is the value of k ?

Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle.

Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle.Prove that /_ABC is equal to half the difference of the angles subtended by the chords AC and DE at the centre

Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle.Prove that /_ABC is equal to half of the difference of the angles subtended by the chords AC and DE at the center.