(i) The centre of a circle lies in interior of the circle. (exterior/ interior)
Reasoning : A circle is made up of all the points on a plane that are spaced uniformly apart from a given point in the plane. The circle's centre serves as the fixed point.
(ii) A point, whose distance from the centre of a circle is greater than its radius lies in exterior of the circle. (exterior/ interior)
Reasoning : A circle is made up of all the points in a plane that are spaced uniformly apart from one another. The circle's centre serves as the fixed point. The circle's radius is its fixed distance. Any point outside of the circle will be farther away than the radius.
(iii) The longest chord of a circle is a diameter of the circle.
Reasoning: The diameter will always be the largest
(iv) An arc is a Semicircle when its ends are the ends of a diameter.
Reasoning: We are aware that the circle's diameter is its longest chord. The circle is divided into two equal halves or arcs by its diameter. Each of the two equal arcs is a semicircle.
(v) Segment of a circle is the region between an arc and a chord of the circle.
Reasoning: A segment of the circular region, or simply a segment of the circle, is the space between a chord and either of its arcs.
(vi) A circle divides the plane, on which it lies, in three parts.
Reasoning: 1) Inside the circle 2) the circle 3 ) Outside of the circle.