Question

A circle is a plane figure.
A). True
B). False
C). Ambiguous
D). Data insufficient

Answer 1

Hint: This question is a true or false type question. Given the statement that a circle is a plane figure. First, we need to state whether it is true or false or anything else and need to conclude with the explanation of the statement.

Complete step-by-step solution:
True, Circle is a two dimensional figure thus it can be also referred as a plane figure. We know that a circle is a round shape which has no sides and corners . In other words, it is a closed , flat figure as it doesn’t have any dimension. Circle is a round closed figure with all the points are equidistant from the point at the centre. The longest chord of the circle is known as the diameter of the circle. It is represented as \[2r\] . Radius of the circle is defined as the distance from the centre of the circle to the circumference of the circle. The distance around the circle is it’s circumstance . In a circle, the perimeter is known as the circumstance of the circle. The circumstance is the arc length of the circle as if it opened out to a line segment. The formula of the circumference of the circle is the product of the mathematical constant \[\pi\] and the diameter of the circle.
\[{Circumstance} = \pi \times diameter\]
W.K.T : Diameter = \[2r\]
Where r is the radius of the circle.
\[\text{Circumstance}\ = \ 2\pi r\]
Here \[\pi\] is the mathematical constant . Values \[\ 3.14\]
Circumstance is the total length of the boundary of the circle.
\[\text{Area of the circle} = \pi \times {r}^{2}\]
Where \[r\] is the radius of the circle.
Thus a circle is a plane closed figure enclosed by a curve.
Diagram :

Final answer :
A circle is a plane figure.
Option A). True

Note: Circle is such a kind of ellipse in which all the points are equidistant from the centre point. Basically , the concept of the circle is about the centre, radius, arc ,circumstances etc… The pane figure is nothing but it is a two dimensional closed figure which has no thickness.