How to Find Centre of a Circle?
To find the center of any circle follow the steps added below,
Step 1: Determine Two Points on Circumference of Circle
Select two locations within the circle. These could be any two different points on the circumference, the ends of a diameter, or points along a secant or chord.
Step 2: Use Midpoint Formula
To find the coordinates of the midpoint of the line segment connecting the two points, use the midpoint formula. The formula for finding the midpoint is Midpoint=(x1+x2/2 ,y1+y2/2), where the coordinates of the two points that have been identified are (x1, y1) and (x2, y2).
Step 3: Midpoint Coordinates represents Center of Circle
Circle’s center is represented by the coordinates found using the midpoint formula. Let us say these coordinates are (h, k), where k is the center’s y-coordinate and h is its x-coordinate.
Step 4: Check for Further Points
You can verify that the computed center coordinates are equally spaced from each of the additional points on the circle if you have more than one. This attests to the fact that you have located the right center.
Alternative Method for Finding Center of a Circle
Alternatively center of any circle is found by,
Examine Equation of Circle
When the circle’s equation is expressed in the standard form (x – h)2 + (y – k)2 = r2, the center’s coordinates are (h, k), and the radius is denoted by r.
Center of Circle
Center of a Circle is defined as a point inside the circle that is equidistant from all the points on the circumference of the circle. It is generally denoted using (h, k) points and is the point from where all the radius passes. Cente of the circle is defined as the mid-point of the end point of the diameter of the circle.
In this article, we will learn about, center of a circle, its formulas, and examples in detail.
Table of Content
- What is Centre of a Circle?
- Center of Circle Formula
- How to Find Centre of a Circle?
- How to Find Center of Circle with Two Points?
- How to Express Center of Circle?
- Center of Circle Using Midpoint Formula