Understanding the Circle Formula | Exploring the Significance of (h, k) as the Coordinates of the Circle’s Center

what is (h,k) in the circle formula?

In the circle formula, (h, k) represents the coordinates of the center of the circle

In the circle formula, (h, k) represents the coordinates of the center of the circle. The general equation for a circle is (x – h)^2 + (y – k)^2 = r^2, where (x, y) are any coordinates lying on the circumference of the circle, (h, k) are the coordinates of the center, and r is the radius of the circle.

The point (h, k) is often referred to as the center of the circle because it determines where the circle is positioned on the coordinate plane. The x-coordinate, h, represents the horizontal position of the center, while the y-coordinate, k, represents the vertical position. Therefore, by specifying (h, k) in the equation, you can determine the position of the circle on the coordinate plane.

To summarize, (h, k) in the circle formula refers to the coordinates of the center of the circle, around which all points on the circumference are equidistant.

More Answers: