STEM Excellence Series: Empowering the Next Generation

CENTER

Center

Definition Of Center

Center of a circle is the point inside the circle, from which all points on the circle are the same distance.

Example of Center

In the figure shown, O is the center of the circle. A, B, C, and D are points on the circle.
OA = OB = OC = ODexample of Celsius Degree

Video Examples: Circumference of a Circle

Solved Example on Center

Ques: Identify the center of the circle shown in the figure.

Choices:

A. A
B. B
C. C
D. D 
Correct Answer: c

Solution:

Step 1: Among the points shown in the figure, C seems to be the point that is equidistant from all the points on the circle.
Step 2: So, C is the center of the circle.

Quick Summary

  • The center is equidistant from all points on the circumference.
  • The center is used to define the radius and diameter.
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🍎 Teacher Insights

Use physical models like compasses to demonstrate the center and its properties.

🎓 Prerequisites

  • Radius
  • Diameter
  • Circle

Check Your Knowledge

Q1: Which point is the center of the circle?

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.

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