A chord of a circle passing through its centre is equal to its

Options

A. radius
B. diameter
C. circumference
D. none of these

Answer

To solve the question "A chord of a circle passing through its centre is equal to its", we need to understand the definitions and properties of circles, chords, and diameters.

### Step-by-Step Solution:

1. **Understanding the Circle**:
- A circle is defined as the set of all points that are equidistant from a fixed point called the center.

2. **Identifying the Chord**:
- A chord is a line segment with both endpoints on the circle.

3. **Chord Passing Through the Center**:
- If a chord passes through the center of the circle, it divides the circle into two equal halves.

4. **Relating Chord to Radius**:
- The distance from the center of the circle to any point on the circle is called the radius.

5. **Understanding Diameter**:
- The diameter of a circle is defined as the longest chord of the circle. It is twice the length of the radius.

6. **Conclusion**:
- Since a chord that passes through the center of the circle is the longest possible chord, it is equal to the diameter of the circle.

### Final Answer:
A chord of a circle passing through its centre is equal to its **diameter**.

---