The equation of the circle x² +y² – 8x – 6y + 21 = 0 is equal to the equation (x + 4)² + (y − 3)² = 2². Then the correct option is C.
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
x² + y² – 8x – 6y + 21 = 0
The equation can be written as
x² – 8x + 16 + y² – 6y + 9 = 4
(x + 4)² + (y − 3)² = 2²
Then the center of the circle is at (-9, 6) and the radius of the circle is 10 units.
More about the circle link is given below.
brainly.com/question/11833983
