Answer:
Center (h, k) = 2 and -3
Radius = 4
Explanation:
Given the mathematical expression;
(x - 2)² + (y + 3)² = 16 ......equation 1.
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 2.
Where the center is C(-h, -k)
Similarly, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 3.
Where;
- h and k represents the coordinates of the centre.
- r represents the radius of the circle.
Comparing equation 1 and equation 3, we have;
The center of the circle, C(h, k) are 2 and -3
Radius = √16 = 4