Center of a Circle

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.

Example of 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.

Video Examples: Circumference of a Circle


Example of Center of a 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

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

    example of Center of a 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.

Translate :