Order of Rotational Symmetry of a Circle

This video tutorial explains the concept of rotational symmetry, specifically focusing on the circle. It demonstrates that a circle has infinite rotational symmetry, meaning it can be rotated any number of times within 360° and still look the same. The video uses a marker to visually demonstrate this concept and discusses how even the smallest degree of rotation maintains the circle's appearance. The conclusion reinforces the idea that the order of rotational symmetry for a circle is infinite.

What is the order of rotational symmetry for a circle?

• Finite

• Zero

• One

• Infinite

Why does a circle have infinite rotational symmetry?

• Because it can be rotated only at 90° intervals

• Because it has a fixed number of symmetrical points

• Because it can be rotated at any angle and still look the same

• Because it changes shape with each rotation

What happens when you place a marker on a circle and rotate it?

• The marker changes position but the circle looks the same

• The marker stays in the same position and the circle looks the same

• The marker stays in the same position and the circle looks different

• The marker changes position but the circle looks different

How can the rotation of a circle be described in terms of degrees?

• Only in whole numbers

• Only in multiples of 90°

• In any degree, even as small as 0.0009°

• Only in multiples of 180°

What is the significance of the order of rotational symmetry being infinite for a circle?

• It means the circle can only be rotated a few times

• It means the circle can be rotated endlessly without changing appearance

• It means the circle has no symmetry

• It means the circle can only be rotated at specific angles