What is are the coordinates of the center and length of the radius of the circle whose equation is x^2 + 6x + y^2 -4y =23

The coordinates (x,y) are -3,2 while the radius is 6cm

Step-by-step explanation:

The general form of the equation of a circle may be given as

(x - a)² + (y - b)² = c²

where c is the radius, a and b are the coordinates of the center of the circle along the x and y axis.

Given the circle

x^2 + 6x + y^2 - 4y =23

To make it similar to the general form

x^2 + 6x +9 + y^2 -4y + 4 =23 + 9 + 4

Factorizing

(x + 3)² + (y - 2)² = 36

Comparing with the general form,

c² = 36

c = √36

= 6 cm ( this is the radius)

a = -3, b = 2

72 is the answer to this problem

none cuz there are no "following statements" regarding the question

step-by-step explanation: