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
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.
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.
Quick Summary
- The center is equidistant from all points on the circle's edge.
- The radius is the distance from the center to any point on the circle.
🍎 Teacher Insights
Use physical manipulatives like compasses and string to demonstrate the concept. Emphasize that the center is a point of symmetry.🎓 Prerequisites
- Basic geometric shapes
- Understanding of points and distances
Check Your Knowledge
Q1: Which of the following is the definition of the center of a circle?
Q2: If O is the center of the circle and A is a point on the circumference, what is the line segment OA called?
Frequently Asked Questions
Q: How do you find the center of a circle?
A: The center can be found by finding the intersection of the perpendicular bisectors of two chords in the circle.
Q: Is the center part of the circle?
A: No, the center is a point inside the circle, not on the circumference.