We can find the equation of any circle, given the coordinates of the center and the radius of
If we place the circle center at (0,0) and set the radius to 1 we get: (x−a) 2 + (y−b) 2 = r 2. (x−0) 2 + (y−0) 2 = 1 2. x2 + y2 = 1. Which is the equation of the Unit Circle.
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The standard equation of a circle is given by: (x-h) 2 + (y-k) 2 = r 2. Where (h,k) is the coordinates of center of the circle and r is the radius. Before deriving the equation of a circle, let us focus on what is a circle? A circle is a set of all points which are equally spaced from a fixed point in a plane. See more
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The general equation of the circle and standard form of circle are given below with examples. General Equation of the Circle : The general equation of the circle is x 2 + y 2 + 2 g x + 2 f y + c