![]() The center of a circle is the midpoint of the diameter. How to Find Center of Circle with Endpoints of Diameter? The circle is also part of a conic section and the foci of the conic is the center of the circle. That point of intersection will be the center of the circle. Then, join the opposite ends of the chords. To find the center of a circle, we can draw two parallel chords having the same length inside the circle. So, the center of the circle is at (5, -6). If we compare the given equation with the general equation of center of circle: (x - h) 2 + (y - k) 2 = r 2, we can see that h = 5, k = -6, and r = √42. What is the Center of a Circle Represented by the Equation (x - 5) 2 + (y + 6) 2 = 42? The coordinates of the center and the radius are related to each other in the form of an equation: (x - h) 2 + (y - k) 2 = r 2. The length of the radius is denoted by r. It is generally denoted in the form of (h, k), where h and k represent the x and y coordinates respectively. The coordinates of the center of the circle represent the distance of the center point from the x-axis and y-axis respectively. What are the Coordinates for the Center of the Circle and the Length of the Radius? In a circle, the distance between the center to any point on the circumference is always the same which is called the radius of the circle. It is the mid-point of the diameter of the circle. The center of a circle is the point where we place the tip of our compass while drawing a circle. Therefore, the coordinates of the center of a circle with the endpoints of diameter are (2, 10).Ĭheck these interesting articles related to the concept of center of circle in geometry.įAQs on Center of Circle What is the Center of Circle? Let us take an example of a circle in which the endpoints of a diameter are given as (-2, 4), and (6, 16).
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