Question

A circle divides a plane in which it lies including itself in ____________ parts.

Answer 1

Hint: A circle is a two-dimensional shape bounded by the curved line.
A plane is a flat surface which can be extended in any direction.

Complete step-by-step answer:
It is given that a plane is a flat surface that extends without end in all directions.
Basically a plane is a three dimensional extension of a straight line, while the circle is the compression of a three dimensional shape sphere.
Here we have to find the number of parts made while a plane is divided by a circle.
A circle divides the plane into three parts:
The points INSIDE the circle.
The points OUTSIDE the circle.
The points ON the circle.
The bound of parts is given using the circle since the plane extends without end in all directions.
Hence, we have come to a conclusion that a circle divides the plane into three parts
The points INSIDE the circle; the points OUTSIDE the circle; the points ON the circle.

Note: The part of the plane which is inside the circle is known as the interior of the circle, the part which is on the circle is known as on the circle and the plane which is outside the circle is known as the exterior of the circle.
Compression of a plane is a straight line and sphere is a circle; compression is nothing but the reduction of a plane that is a three dimensional object is converted to a two dimensional one by making one of the axes to be zero.