I have tried to figure this out, but I came up with two different answers. THe answers I got were 33(first), then 33.
What is the rotational symmetrt of a star-like figure, with 24 points? How did youo get the answer so I can understand?
To determine the rotational symmetry of a star-like figure with 24 points, you need to find the number of times it can be rotated to coincide with itself.
First, consider the number of divisions around the center of the star. In this case, there are 24 points, which means the figure can be divided into 24 equal angular sections.
Now, let's calculate how many different rotations are possible. To do this, we'll divide 360 degrees (a full circle) by the angle between each division. Since there are 24 points, the angle between each point is 360 degrees divided by 24, which is 15 degrees.
Next, we need to find the greatest common divisor (GCD) of 360 degrees and 15 degrees. For this example, the GCD is 15 degrees.
Now, we can calculate how many rotations are needed for the star-like figure to coincide with itself. To do this, we divide 360 degrees by the GCD of 15 degrees.
360 degrees / 15 degrees = 24 rotations
Therefore, the rotational symmetry of the star-like figure with 24 points is 24. This means the figure can be rotated 24 times, each time perfectly overlapping itself.
It's worth noting that both 33 and 24 are factors of 360, which means they are both possible answers. The difference arises from the fact that 33 is the maximum possible divisors for 360, but in this particular case, the correct answer is 24 rotations because we are considering the symmetry of the star-like figure with 24 points.