Is a circle a regular polygon?
Define a regular polygon
A polygon is a closed plane figure with straight line segments as its sides.
A circle is an example of plane closed figure but it has no straight side.
Hence, a circle is not a polygon
In the given figure, AB is a side of a regular six-sided polygon and AC is a side of a regular eight-sided polygon inscribed in the circle with centre O. Calculate the sizes of :
(i) ∠ AOB,
(ii) ∠ ACB,
(iii) ∠ ABC.
Statement 1: Regular polygons have finite lines of symmetry.
Statement 2: Circle has infinite lines of symmetry.
Statement 3: Circle is a polygon with infinite sides.
Statement 4: Circle is a regular polygon with infinite sides.
Which of the above statements is/are correct?