Does the figure of a star have rotational system? if it does find the angle of rotation?
yes. the angle is 1/5 of 360°, or 72°
and that's rotational symmetry, not system.
Yes, a figure of a star does have a rotational system. To find the angle of rotation, we need some additional information.
If you are referring to a regular star (a classic five-pointed star with equal sides and angles), it has a rotational symmetry of 5. This means that if you rotate the star by multiples of 72 degrees, it will perfectly align with its original position. So, the angle of rotation for a regular star is 72 degrees.
However, if you are referring to an irregular star (a star with varying side lengths and angles), calculating the angle of rotation becomes more complex. In this case, we need to know the order of rotational symmetry for the specific star shape. The order of rotational symmetry is the number of times the shape fits into itself during a full rotation.
To find the order of rotational symmetry for an irregular star, you can perform the following steps:
1. Draw the star shape on a piece of paper.
2. Place a dot on the center of rotation.
3. Rotate the shape until it aligns with its original position. Count the number of times it fits into itself during the rotation.
Let's assume you find that the order of rotational symmetry for the irregular star is n. The angle of rotation can then be calculated by dividing 360 degrees by the order of rotational symmetry (360/n).
So, to find the angle of rotation for an irregular star, you need to determine its order of rotational symmetry using the steps mentioned above, and then use the formula 360/n to calculate the angle.