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This is the useful form because you can read the. In order to get the equation into standard form, we have to complete the square with respect to both variables. Key Points A circle with center (, ) and radius has the following equation (in standard form): ( ) + ( ). The useful form of the circle equation is the center-radius form namely, (x h)2 + (y k)2 r2.
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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. In order to find the center and radius, we need to change the equation of the circle into standard form, ?(x-h)^2+(y-k)^2=r^2?. The standard equation of a circle is given by: (x-h)2 + (y-k)2 r2 Where (h,k) is the coordinates of center of the circle and r is the radius.
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Find the center and radius of the circle.
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