Write True or False: Give reasons for your answers.
(i) Line segment joining the centre to any point on the circle is a radius of the circle.
(ii) A circle has only finite number of equal chords.
This is false because we can have infinite diameters in a circle. Diameter is the longest chord.
(iii) If a circle is divided into three equal arcs, each is a major arc.
(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
(v) Sector is the region between the chord and its corresponding arc.
This is false because segment is the region between the chord and its corresponding arc.
(vi) A circle is a plane figure.