Find the center and radius of the circle
2 answers:
<h2>Centre: </h2>
- The general formula for the circumference is:

________________________
To find the center, write this formula:

____________________
<h3>We know that...</h3>

We use the equation of the center with the values already obtained:



_____________________
<h2>Ratio: </h2>
Now we use the equation of the radius for a circumference, which is:

___________________________
Now we use the equation of the radius for a circumference with the values already obtained.

- I am going to use complex numbers because the square root of a negative number does not exist in the set of real numbers.







<h3><em><u>MissSpanish</u></em></h3>
<h2>
<u>AnswEr </u><u>:</u></h2>
Provided Equation
As we know the Standard Equation of a Circle is

where,
r radius of circle.
(a,b) centre .

This equation can be further written as

Now completing the square ( by adding 4 & 9 on both side ) .

again this equation can be further written as

Now comparing this equation with standard equation of circle ( mentioned above) and we will get
- Centre = ( a,b) = (3, -2 )
- Radius = r = 3
Therefore,
- <u>Centre </u><u>of </u><u>circle </u><u>is </u><u>(</u><u>3</u><u>,</u><u>-</u><u>2</u><u>)</u><u> </u><u>and </u><u>radius </u><u>is </u><u>3</u>
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