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.

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