Question

Fill in the blanks:
I.The Centre of the circle lies in ________ of the circle.
II.A point whose distance from the Centre is greater than its radius lies in ______ of the circle.
III.The longest chord of a circle is a ______ of a circle
IV.An arc is a _______ when its end is the end of the diameter.
V.Segment of the circle is the region between an arc and ________ of the circle.
VI.A circle divides the plane, on which it lies in ___________

Answer 1

Hint:A circle is a shape consisting of all points in a plane that are a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

Complete step-by-step answer:
Consider\[(1)\]: The Centre of the circle lies in ________ of the circle.
Centre is the reference point through which we can form a circle,

So it will lie in the interior of the circle.
Thus, The Centre of the circle lies in the interior of the circle.

Consider\[\left( 2 \right)\] A point whose distance from the Centre is greater than its radius lies in ______ of the circle.
Radius is the distance from Centre to the endpoint on the circumference of the circle.

Any distance greater than radius will lie exterior to it.
So it will lie in the interior of the circle.
Thus, A point whose distance from the Centre is greater than its radius lies in the exterior of the circle.

Consider \[\left( 3 \right):\]The longest chord of a circle is a ______ of a circle
Chord is the distance between the two endpoints of the circle.

So in the above figure, \[AB\] is the longest chord which is diameter.
Thus, The longest chord of a circle is a diameter of a circle

Consider \[\left( 4 \right):\] An arc is a _______ when its end is the end of the diameter.
An arch is a part of a circle circumference, it can be of any length but when its end is the diameter

So it represents a semicircle.
Thus, An arc is a Semicircle when its end is the end of the diameter.

Consider\[\left( 5 \right)\]: Segment of the circle is the region between an arc and ________ of the circle.
Segment is a part which is the interior of the circle.

So it will between the arc and the chord
Thus, Segment of the circle is the region between an arc and chord of the circle.

Consider \[\left( 6 \right):\]A circle divides the plane, on which it lies in ___________
A plane is a flat surface that extends without end in all directions.
A circle divides the plane into three parts:
the points INSIDE the circle
the points OUTSIDE the circle
and the points ON the circle
Thus, A circle divides the plane, on which it lies in three parts.

Note: Here the main point of concern is the practical knowledge. Geometry is a field of mathematics which can easily be solved if we know how to practically observe it. Remember all the basic properties of circles to answer the above question.