**Definition of Center of a Circle**

- Center of a Circle is a point inside the circle and is at an equal distance from all of the points on its circumference.

**More about Center of a Circle**

- The constant distance from the center of the circle to any point on the circle is called the radius of the circle.
- Diameter of a circle is the line segment connecting two points on a circle and passing through the center of the circle.

**Example of Center of a Circle**

- Three points A, B, and C are on the circumference of the circle and is at equal distance from the point O. So, O is the center of the circle.

**Solved Example on Center of a Circle**

If O is the center of the circle, then identify the radius of the circle.

Choices:

A. DC

B. AB

C. OA

D. AC

Correct Answer: C

Solution:

Step 1:Radius is the distance from the center of the circle to any point on the circle.

Step 2:In the figure, OA, OB, OC, and OD are the radii of the circle.

**Related Terms for Center of a Circle**

- Center
- Circle
- Circumference
- Diameter
- Distance
- Point
- Radius