standard form of a circle
(x-h)^2 + (y-k)^2 = r^2Center: (h,k)Radius: r
The standard form of a circle with center at point (h, k) and radius r is:
(x – h)^2 + (y – k)^2 = r^2
In this equation, x represents the x-coordinate of any point on the circle, y represents the y-coordinate of any point on the circle, h represents the x-coordinate of the center of the circle, k represents the y-coordinate of the center of the circle, and r represents the radius of the circle.
This form of a circle equation is useful when we need to find the equation of the circle passing through given points or given center and radius. It can also be used to determine if a point lies inside, outside or on the circle by simply plugging in the coordinates of the point into the equation and observing the sign of the resulting expression.
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