A circle can have only one______ and an infinite number of ______

Options

A. diameter, radii
B. centre, length of circumference
C. chord, centre
D. centre, radii

Answer

To solve the question "A circle can have only one______ and an infinite number of ______", we need to identify the correct terms to fill in the blanks based on the properties of a circle.

### Step-by-Step Solution:

1. **Understanding the Circle**:
- A circle is defined as the set of all points in a plane that are at a fixed distance (radius) from a central point (center).

2. **Identifying the First Blank**:
- The first blank refers to a unique characteristic of a circle.
- In a circle, there is only one center. This is the point from which all points on the circle are equidistant.

3. **Identifying the Second Blank**:
- The second blank refers to another characteristic of a circle that can vary.
- A circle can have an infinite number of radii. A radius is a line segment from the center of the circle to any point on the circumference. Since there are infinitely many points on the circumference, there are infinitely many possible radii.

4. **Final Answer**:
- Therefore, the completed statement is: "A circle can have only one center and an infinite number of radii."

### Summary of the Answer:
- A circle can have only one **center** and an infinite number of **radii**.