The order of rotational symmetry of a circle is

Options

A. 0
B. 1
C. 2
D. infinite

Answer

To determine the order of rotational symmetry of a circle, we can follow these steps:

### Step 1: Understand Rotational Symmetry
Rotational symmetry refers to the property of a shape that looks the same after a certain amount of rotation. The order of rotational symmetry is the number of times a shape fits onto itself during a full rotation of 360 degrees.

**Hint:** Think about how many times you can rotate the shape and it looks the same before completing a full circle.

### Step 2: Analyze the Circle
A circle is a perfectly symmetrical shape. When you rotate a circle around its center, it remains unchanged regardless of the angle of rotation.

**Hint:** Consider how many positions a circle can take while still looking identical.

### Step 3: Consider the Angles of Rotation
You can rotate a circle by any angle, whether it’s 1 degree, 2 degrees, or any fraction of a degree. Since there are infinite angles between 0 and 360 degrees, the circle will always look the same.

**Hint:** Remember that between any two angles, you can find many more angles.

### Step 4: Conclude the Order of Rotational Symmetry
Since a circle can be rotated by any angle and still appear the same, we conclude that the order of rotational symmetry of a circle is infinite.

**Hint:** Reflect on the definition of infinity and how it applies to the number of rotations.

### Final Answer
The order of rotational symmetry of a circle is infinite.