What are the steps used to transform the general form of the equation of a circle to standard form

Convert the equation of a circle in general form shown below into standard form. Find the center and radius of the circle. Group the x 's and y 's together. Consider the x2 and x terms only. Complete the square on these terms. Replace the x2 and x terms with a squared bracket.

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topeadeniran2 topeadeniran2 · Answer 2 · 2022-02-18T14:05:21+01:00

The transformation of the general form of the equation of a circle to standard form involves the following steps:

Change the order of the terms so that the x's and y's are grouped together.
Ensure that the constant appears on the other side of the equal sign.
Complete the square for each variable.
Adding the number which creates perfect square trinomials.
Factor each perfect square trinomial.

Equation of a circle

The formula for the equation of a circle is given as (x – h)2+ (y – k)2 = r2, where (h, k) depicts the coordinates of the center of the circle, r represents the radius of the circle.

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