The number of lines of symmetry of a circle is

Options

A. 0
B. 1
C. 4
D. unlimited

Answer

To determine the number of lines of symmetry of a circle, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Circle**:
- A circle is a round shape where every point on the boundary is equidistant from the center.

**Hint**: Remember that the center of the circle is the point from which all points on the circumference are equally distant.

2. **Defining Lines of Symmetry**:
- A line of symmetry is a line that divides a shape into two identical halves that are mirror images of each other.

**Hint**: Think of folding a shape along a line; if both halves match perfectly, that line is a line of symmetry.

3. **Drawing Lines Through the Center**:
- When we draw a line through the center of the circle, it divides the circle into two equal parts. This line is called a diameter.

**Hint**: Visualize or sketch a circle and draw a line through the center; notice how both sides are equal.

4. **Identifying Multiple Lines**:
- Since a circle has a center, we can draw an infinite number of lines through this center at various angles. Each of these lines will also bisect the circle into two equal halves.

**Hint**: Imagine rotating a line around the center of the circle; every position creates a new line of symmetry.

5. **Conclusion**:
- Therefore, the number of lines of symmetry in a circle is infinite.

**Hint**: Remember that because you can draw lines at any angle through the center, there is no limit to the number of symmetrical divisions.

### Final Answer:
The number of lines of symmetry of a circle is **infinite**.