Write true or false: Give reasons for your answers.
(1) Line segment joining the centre to any point on the circle is a radius of the circle.
(2) A circle has only finite number of equal chords.
(3) If a circle is divided into three equal arcs, each is a major arc.
(4) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
(5) Sector is the region between the chord and its corresponding arc.
(6) A circle is a plane figure.