 Hello and how are you all today? My name is Priyanka. The question says why true or false and We need to give reasons for our answer also The first statement says line segment joining the center to any point on the circle is the radius of the circle Let's see Now this is the center and let's say this is a point on The circle now the line on the center to any point becomes a radius of the circle. Yes, this is a true statement Proceeding on further To the second part a circle has only finite number of equal chords finite means you can count the number of chords that can be made in a circle it will be possible to an extent but as You go on making the chords there can be endless number of chords that can be made in a circle So this says that this is a false Statement that's right The third part if a circle is divided into three equal hours, which each is a major arc so let us Now let us divide the circle into three equal parts. Let's say a b c a b is a Arc bc and C a but if you observe each is not a major arc each is a minor arc so Therefore this is a false statement Fifth state fourth statement says a chord of a circle which is twice as long as the radius is the diameter of the chord of a Circle we know that this is the radius now if you add the same radius to the other side also This will become the diameter. So that is why this is a True statement further The sector is the region between the chord and its corresponding arc and that is a true statement because it is the center And this is an arc and the region between it is is called the sector But it is not between the chord it is between the radius and the arc So it will be a false statement and fifth six statement say the circle is a plain figure which Has no reason to it and this is a true statement So this completes the session. Hope you enjoy and take care