how many lines of symmetry does a circle have?

Answer 1

An infinite number

Answer 2

Technically it has an infinite number of lines of symmetry, as any straight line drawn through a circle that passes through the two most extreme points will split the circle into two identical sides.

On a practical level of course, people work with degrees. As a circle has 360 degrees, it has 180 possible lines of symmetry, 1 for every degree for half of the circle.

Answer 3

This has been asked before, if you draw a diameter on the circle it is a line of symmetry. Because in theory you can draw an infinite number of diameters, there are an infinite number of lines of symmetry.

Answer 4

If we consider the circle as embedded in a 2D plane, then as people have said, any line through the centre of the circle is a line of (reflectional) symmetry. There are uncountably many such lines.

But, there's one other possible candidate. If we consider the circle to be part of 3D space, we can choose the line through the centre of the circle and perpendicular to the plane in which the circle lies. This is a line of rotational symmetry - if we rotate about this line, the circle will be preserved.

So I believe there are infinity + 1 lines of symmetry.
;)

Answer 5

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RE:
how many lines of symmetry does a circle have?

Answer 6

any straight line passing through the centre
and cutting the circle at two points on the curve
is a line of symmetry of the circle-there are an infinite
number of such 'diameters' therefore there are an infinite
number of lines of symmetry on a circle

Answer 7

Infinitely many. Every diameter of the circle is a line of symmetry. As you know, there are infinitely many of them.

Answer 8

Infinite

Answer 9

I circle has an endless amount of lines of symmetry.

Answer 10

Infinite number