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Answer:
Step-by-step explanation:
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.
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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