A diameter divides the circle into k equal halves. Then find the value of k..

Answer

To solve the question, "A diameter divides the circle into k equal halves. Then find the value of k," we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Circle and Diameter**:
- A circle is a round shape with all points on its boundary equidistant from its center.
- A diameter is a line segment that passes through the center of the circle and has its endpoints on the circle's boundary.

2. **Visualizing the Circle**:
- Draw a circle and label its center as point O.
- Mark two points on the boundary of the circle, A and B, such that the line segment AB is the diameter.

3. **Dividing the Circle**:
- The diameter AB divides the circle into two distinct regions: the upper half and the lower half.
- These two regions are equal in area.

4. **Determining the Value of k**:
- Since the diameter divides the circle into two equal parts, we can conclude that k, which represents the number of equal halves, is equal to 2.

5. **Final Answer**:
- Therefore, the value of k is 2.

### Conclusion:
The diameter of a circle divides it into 2 equal halves. Thus, the value of k is 2.