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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.